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Finding the Third Proportional to 159,536,306 and 347,024,929

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Solution

The third proportional to 159,536,306 and 347,024,929 is: 754,852,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536,306 : 347,024,929 = 347,024,929 : x
  2. Step 2: Convert to fraction form
    159,536,306/347,024,929 = 347,024,929/x
  3. Step 3: Cross multiply
    159,536,306x = 347,024,929 × 347,024,929
  4. Step 4: Simplify right side
    159,536,306x = 120,426,301,347,455,040
  5. Step 5: Solve for x
    x = 120,426,301,347,455,040/159,536,306
  6. Step 6: Final answer
    x = 754,852,010.60

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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.