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Finding the Third Proportional to 24,573,577,969,498 and 53,473,095,566,212

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Solution

The third proportional to 24,573,577,969,498 and 53,473,095,566,212 is: 116,359,610,024,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573,577,969,498 : 53,473,095,566,212 = 53,473,095,566,212 : x
  2. Step 2: Convert to fraction form
    24,573,577,969,498/53,473,095,566,212 = 53,473,095,566,212/x
  3. Step 3: Cross multiply
    24,573,577,969,498x = 53,473,095,566,212 × 53,473,095,566,212
  4. Step 4: Simplify right side
    24,573,577,969,498x = 2,859,371,949,433,241,588,046,233,600
  5. Step 5: Solve for x
    x = 2,859,371,949,433,241,588,046,233,600/24,573,577,969,498
  6. Step 6: Final answer
    x = 116,359,610,024,329.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.