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Finding the Third Proportional to 787,155,715.13 and 1,822,313,710.13

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Solution

The third proportional to 787,155,715.13 and 1,822,313,710.13 is: 4,218,767,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,155,715.13 : 1,822,313,710.13 = 1,822,313,710.13 : x
  2. Step 2: Convert to fraction form
    787,155,715.13/1,822,313,710.13 = 1,822,313,710.13/x
  3. Step 3: Cross multiply
    787,155,715.13x = 1,822,313,710.13 × 1,822,313,710.13
  4. Step 4: Simplify right side
    787,155,715.13x = 3,320,827,258,109,542,400
  5. Step 5: Solve for x
    x = 3,320,827,258,109,542,400/787,155,715.13
  6. Step 6: Final answer
    x = 4,218,767,893.44

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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.