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Finding the Third Proportional to 247,240,167,320 and 535,554,473,281

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Solution

The third proportional to 247,240,167,320 and 535,554,473,281 is: 1,160,080,892,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,240,167,320 : 535,554,473,281 = 535,554,473,281 : x
  2. Step 2: Convert to fraction form
    247,240,167,320/535,554,473,281 = 535,554,473,281/x
  3. Step 3: Cross multiply
    247,240,167,320x = 535,554,473,281 × 535,554,473,281
  4. Step 4: Simplify right side
    247,240,167,320x = 286,818,593,851,289,326,583,808
  5. Step 5: Solve for x
    x = 286,818,593,851,289,326,583,808/247,240,167,320
  6. Step 6: Final answer
    x = 1,160,080,892,034.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.