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Finding the Third Proportional to 63,646,710 and 138,952,020

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Solution

The third proportional to 63,646,710 and 138,952,020 is: 303,356,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,646,710 : 138,952,020 = 138,952,020 : x
  2. Step 2: Convert to fraction form
    63,646,710/138,952,020 = 138,952,020/x
  3. Step 3: Cross multiply
    63,646,710x = 138,952,020 × 138,952,020
  4. Step 4: Simplify right side
    63,646,710x = 19,307,663,862,080,400
  5. Step 5: Solve for x
    x = 19,307,663,862,080,400/63,646,710
  6. Step 6: Final answer
    x = 303,356,824.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.