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Finding the Third Proportional to 1,385,891,464 and 1,882,791,600

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Solution

The third proportional to 1,385,891,464 and 1,882,791,600 is: 2,557,851,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,891,464 : 1,882,791,600 = 1,882,791,600 : x
  2. Step 2: Convert to fraction form
    1,385,891,464/1,882,791,600 = 1,882,791,600/x
  3. Step 3: Cross multiply
    1,385,891,464x = 1,882,791,600 × 1,882,791,600
  4. Step 4: Simplify right side
    1,385,891,464x = 3,544,904,209,030,559,744
  5. Step 5: Solve for x
    x = 3,544,904,209,030,559,744/1,385,891,464
  6. Step 6: Final answer
    x = 2,557,851,246.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.