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Finding the Third Proportional to 131,638,666 and 283,506,596

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Solution

The third proportional to 131,638,666 and 283,506,596 is: 610,580,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,638,666 : 283,506,596 = 283,506,596 : x
  2. Step 2: Convert to fraction form
    131,638,666/283,506,596 = 283,506,596/x
  3. Step 3: Cross multiply
    131,638,666x = 283,506,596 × 283,506,596
  4. Step 4: Simplify right side
    131,638,666x = 80,375,989,975,507,216
  5. Step 5: Solve for x
    x = 80,375,989,975,507,216/131,638,666
  6. Step 6: Final answer
    x = 610,580,404.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.