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Finding the Third Proportional to 209,581,054,309 and 455,882,872,113

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Solution

The third proportional to 209,581,054,309 and 455,882,872,113 is: 991,641,127,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,581,054,309 : 455,882,872,113 = 455,882,872,113 : x
  2. Step 2: Convert to fraction form
    209,581,054,309/455,882,872,113 = 455,882,872,113/x
  3. Step 3: Cross multiply
    209,581,054,309x = 455,882,872,113 × 455,882,872,113
  4. Step 4: Simplify right side
    209,581,054,309x = 207,829,193,085,997,897,744,384
  5. Step 5: Solve for x
    x = 207,829,193,085,997,897,744,384/209,581,054,309
  6. Step 6: Final answer
    x = 991,641,127,921.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.