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Finding the Third Proportional to 29,344,627 and 64,357,952

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Solution

The third proportional to 29,344,627 and 64,357,952 is: 141,148,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344,627 : 64,357,952 = 64,357,952 : x
  2. Step 2: Convert to fraction form
    29,344,627/64,357,952 = 64,357,952/x
  3. Step 3: Cross multiply
    29,344,627x = 64,357,952 × 64,357,952
  4. Step 4: Simplify right side
    29,344,627x = 4,141,945,985,634,304
  5. Step 5: Solve for x
    x = 4,141,945,985,634,304/29,344,627
  6. Step 6: Final answer
    x = 141,148,360.33

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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.