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Finding the Third Proportional to 29,344,646 and 64,357,996

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Solution

The third proportional to 29,344,646 and 64,357,996 is: 141,148,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344,646 : 64,357,996 = 64,357,996 : x
  2. Step 2: Convert to fraction form
    29,344,646/64,357,996 = 64,357,996/x
  3. Step 3: Cross multiply
    29,344,646x = 64,357,996 × 64,357,996
  4. Step 4: Simplify right side
    29,344,646x = 4,141,951,649,136,016
  5. Step 5: Solve for x
    x = 4,141,951,649,136,016/29,344,646
  6. Step 6: Final answer
    x = 141,148,461.94

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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.