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Finding the Third Proportional to 29,344,631 and 64,357,963

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Solution

The third proportional to 29,344,631 and 64,357,963 is: 141,148,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344,631 : 64,357,963 = 64,357,963 : x
  2. Step 2: Convert to fraction form
    29,344,631/64,357,963 = 64,357,963/x
  3. Step 3: Cross multiply
    29,344,631x = 64,357,963 × 64,357,963
  4. Step 4: Simplify right side
    29,344,631x = 4,141,947,401,509,369
  5. Step 5: Solve for x
    x = 4,141,947,401,509,369/29,344,631
  6. Step 6: Final answer
    x = 141,148,389.34

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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.