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Finding the Third Proportional to 63,887,024 and 138,967,735

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Solution

The third proportional to 63,887,024 and 138,967,735 is: 302,284,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,887,024 : 138,967,735 = 138,967,735 : x
  2. Step 2: Convert to fraction form
    63,887,024/138,967,735 = 138,967,735/x
  3. Step 3: Cross multiply
    63,887,024x = 138,967,735 × 138,967,735
  4. Step 4: Simplify right side
    63,887,024x = 19,312,031,371,030,224
  5. Step 5: Solve for x
    x = 19,312,031,371,030,224/63,887,024
  6. Step 6: Final answer
    x = 302,284,097.17

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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.