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Finding the Third Proportional to 1,069,832,446 and 2,329,591,716

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Solution

The third proportional to 1,069,832,446 and 2,329,591,716 is: 5,072,754,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,832,446 : 2,329,591,716 = 2,329,591,716 : x
  2. Step 2: Convert to fraction form
    1,069,832,446/2,329,591,716 = 2,329,591,716/x
  3. Step 3: Cross multiply
    1,069,832,446x = 2,329,591,716 × 2,329,591,716
  4. Step 4: Simplify right side
    1,069,832,446x = 5,426,997,563,255,824,384
  5. Step 5: Solve for x
    x = 5,426,997,563,255,824,384/1,069,832,446
  6. Step 6: Final answer
    x = 5,072,754,694.95

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Why These Related Problems?

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