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Finding the Third Proportional to 787,155,904.13 and 1,822,314,192.75

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Solution

The third proportional to 787,155,904.13 and 1,822,314,192.75 is: 4,218,769,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,155,904.13 : 1,822,314,192.75 = 1,822,314,192.75 : x
  2. Step 2: Convert to fraction form
    787,155,904.13/1,822,314,192.75 = 1,822,314,192.75/x
  3. Step 3: Cross multiply
    787,155,904.13x = 1,822,314,192.75 × 1,822,314,192.75
  4. Step 4: Simplify right side
    787,155,904.13x = 3,320,829,017,098,084,352
  5. Step 5: Solve for x
    x = 3,320,829,017,098,084,352/787,155,904.13
  6. Step 6: Final answer
    x = 4,218,769,115.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.