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Finding the Third Proportional to 2,756,378,387 and 4,136,583,509

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Solution

The third proportional to 2,756,378,387 and 4,136,583,509 is: 6,207,900,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756,378,387 : 4,136,583,509 = 4,136,583,509 : x
  2. Step 2: Convert to fraction form
    2,756,378,387/4,136,583,509 = 4,136,583,509/x
  3. Step 3: Cross multiply
    2,756,378,387x = 4,136,583,509 × 4,136,583,509
  4. Step 4: Simplify right side
    2,756,378,387x = 17,111,323,126,930,753,536
  5. Step 5: Solve for x
    x = 17,111,323,126,930,753,536/2,756,378,387
  6. Step 6: Final answer
    x = 6,207,900,630.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.