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Finding the Third Proportional to 63,886,966 and 138,967,591

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Solution

The third proportional to 63,886,966 and 138,967,591 is: 302,283,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,886,966 : 138,967,591 = 138,967,591 : x
  2. Step 2: Convert to fraction form
    63,886,966/138,967,591 = 138,967,591/x
  3. Step 3: Cross multiply
    63,886,966x = 138,967,591 × 138,967,591
  4. Step 4: Simplify right side
    63,886,966x = 19,311,991,348,343,280
  5. Step 5: Solve for x
    x = 19,311,991,348,343,280/63,886,966
  6. Step 6: Final answer
    x = 302,283,745.14

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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.