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Finding the Third Proportional to 100,620,417,888 and 215,375,613,120

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Solution

The third proportional to 100,620,417,888 and 215,375,613,120 is: 461,006,381,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,620,417,888 : 215,375,613,120 = 215,375,613,120 : x
  2. Step 2: Convert to fraction form
    100,620,417,888/215,375,613,120 = 215,375,613,120/x
  3. Step 3: Cross multiply
    100,620,417,888x = 215,375,613,120 × 215,375,613,120
  4. Step 4: Simplify right side
    100,620,417,888x = 46,386,654,726,815,913,869,312
  5. Step 5: Solve for x
    x = 46,386,654,726,815,913,869,312/100,620,417,888
  6. Step 6: Final answer
    x = 461,006,381,214.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.