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Finding the Third Proportional to 29,689,292 and 45,970,563

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Solution

The third proportional to 29,689,292 and 45,970,563 is: 71,180,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689,292 : 45,970,563 = 45,970,563 : x
  2. Step 2: Convert to fraction form
    29,689,292/45,970,563 = 45,970,563/x
  3. Step 3: Cross multiply
    29,689,292x = 45,970,563 × 45,970,563
  4. Step 4: Simplify right side
    29,689,292x = 2,113,292,662,536,969
  5. Step 5: Solve for x
    x = 2,113,292,662,536,969/29,689,292
  6. Step 6: Final answer
    x = 71,180,298.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.