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Finding the Third Proportional to 64,736,528 and 138,706,831

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Solution

The third proportional to 64,736,528 and 138,706,831 is: 297,198,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,528 : 138,706,831 = 138,706,831 : x
  2. Step 2: Convert to fraction form
    64,736,528/138,706,831 = 138,706,831/x
  3. Step 3: Cross multiply
    64,736,528x = 138,706,831 × 138,706,831
  4. Step 4: Simplify right side
    64,736,528x = 19,239,584,966,062,560
  5. Step 5: Solve for x
    x = 19,239,584,966,062,560/64,736,528
  6. Step 6: Final answer
    x = 297,198,282.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.