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Finding the Third Proportional to 34,032,028 and 74,676,463

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Solution

The third proportional to 34,032,028 and 74,676,463 is: 163,862,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032,028 : 74,676,463 = 74,676,463 : x
  2. Step 2: Convert to fraction form
    34,032,028/74,676,463 = 74,676,463/x
  3. Step 3: Cross multiply
    34,032,028x = 74,676,463 × 74,676,463
  4. Step 4: Simplify right side
    34,032,028x = 5,576,574,126,190,369
  5. Step 5: Solve for x
    x = 5,576,574,126,190,369/34,032,028
  6. Step 6: Final answer
    x = 163,862,527.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.