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Finding the Third Proportional to 63,033,461 and 138,024,346

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Solution

The third proportional to 63,033,461 and 138,024,346 is: 302,231,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,033,461 : 138,024,346 = 138,024,346 : x
  2. Step 2: Convert to fraction form
    63,033,461/138,024,346 = 138,024,346/x
  3. Step 3: Cross multiply
    63,033,461x = 138,024,346 × 138,024,346
  4. Step 4: Simplify right side
    63,033,461x = 19,050,720,088,727,716
  5. Step 5: Solve for x
    x = 19,050,720,088,727,716/63,033,461
  6. Step 6: Final answer
    x = 302,231,858.87

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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.