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Finding the Third Proportional to 29,829,978 and 47,160,507

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Solution

The third proportional to 29,829,978 and 47,160,507 is: 74,559,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829,978 : 47,160,507 = 47,160,507 : x
  2. Step 2: Convert to fraction form
    29,829,978/47,160,507 = 47,160,507/x
  3. Step 3: Cross multiply
    29,829,978x = 47,160,507 × 47,160,507
  4. Step 4: Simplify right side
    29,829,978x = 2,224,113,420,497,049
  5. Step 5: Solve for x
    x = 2,224,113,420,497,049/29,829,978
  6. Step 6: Final answer
    x = 74,559,673.51

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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.