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Finding the Third Proportional to 272,657,343 and 431,812,533

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Solution

The third proportional to 272,657,343 and 431,812,533 is: 683,869,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,657,343 : 431,812,533 = 431,812,533 : x
  2. Step 2: Convert to fraction form
    272,657,343/431,812,533 = 431,812,533/x
  3. Step 3: Cross multiply
    272,657,343x = 431,812,533 × 431,812,533
  4. Step 4: Simplify right side
    272,657,343x = 186,462,063,655,876,096
  5. Step 5: Solve for x
    x = 186,462,063,655,876,096/272,657,343
  6. Step 6: Final answer
    x = 683,869,583.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.