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Finding the Third Proportional to 1,300,488,620 and 1,853,869,604

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Solution

The third proportional to 1,300,488,620 and 1,853,869,604 is: 2,642,724,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,488,620 : 1,853,869,604 = 1,853,869,604 : x
  2. Step 2: Convert to fraction form
    1,300,488,620/1,853,869,604 = 1,853,869,604/x
  3. Step 3: Cross multiply
    1,300,488,620x = 1,853,869,604 × 1,853,869,604
  4. Step 4: Simplify right side
    1,300,488,620x = 3,436,832,508,635,117,056
  5. Step 5: Solve for x
    x = 3,436,832,508,635,117,056/1,300,488,620
  6. Step 6: Final answer
    x = 2,642,724,016.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.