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Finding the Third Proportional to 765,253,067,868 and 1,644,072,154,416

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Solution

The third proportional to 765,253,067,868 and 1,644,072,154,416 is: 3,532,129,908,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,253,067,868 : 1,644,072,154,416 = 1,644,072,154,416 : x
  2. Step 2: Convert to fraction form
    765,253,067,868/1,644,072,154,416 = 1,644,072,154,416/x
  3. Step 3: Cross multiply
    765,253,067,868x = 1,644,072,154,416 × 1,644,072,154,416
  4. Step 4: Simplify right side
    765,253,067,868x = 2,702,973,248,926,067,625,820,160
  5. Step 5: Solve for x
    x = 2,702,973,248,926,067,625,820,160/765,253,067,868
  6. Step 6: Final answer
    x = 3,532,129,908,941.85

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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.