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Finding the Third Proportional to 1,069,832,099 and 2,329,591,000

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Solution

The third proportional to 1,069,832,099 and 2,329,591,000 is: 5,072,753,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,832,099 : 2,329,591,000 = 2,329,591,000 : x
  2. Step 2: Convert to fraction form
    1,069,832,099/2,329,591,000 = 2,329,591,000/x
  3. Step 3: Cross multiply
    1,069,832,099x = 2,329,591,000 × 2,329,591,000
  4. Step 4: Simplify right side
    1,069,832,099x = 5,426,994,227,281,000,448
  5. Step 5: Solve for x
    x = 5,426,994,227,281,000,448/1,069,832,099
  6. Step 6: Final answer
    x = 5,072,753,222.07

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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.