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Finding the Third Proportional to 24,573,577,969,494 and 53,473,095,566,204

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Solution

The third proportional to 24,573,577,969,494 and 53,473,095,566,204 is: 116,359,610,024,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573,577,969,494 : 53,473,095,566,204 = 53,473,095,566,204 : x
  2. Step 2: Convert to fraction form
    24,573,577,969,494/53,473,095,566,204 = 53,473,095,566,204/x
  3. Step 3: Cross multiply
    24,573,577,969,494x = 53,473,095,566,204 × 53,473,095,566,204
  4. Step 4: Simplify right side
    24,573,577,969,494x = 2,859,371,949,432,385,618,244,009,984
  5. Step 5: Solve for x
    x = 2,859,371,949,432,385,618,244,009,984/24,573,577,969,494
  6. Step 6: Final answer
    x = 116,359,610,024,313.59

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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.