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Finding the Third Proportional to 1,328,564,361 and 2,854,291,947

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Solution

The third proportional to 1,328,564,361 and 2,854,291,947 is: 6,132,170,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,564,361 : 2,854,291,947 = 2,854,291,947 : x
  2. Step 2: Convert to fraction form
    1,328,564,361/2,854,291,947 = 2,854,291,947/x
  3. Step 3: Cross multiply
    1,328,564,361x = 2,854,291,947 × 2,854,291,947
  4. Step 4: Simplify right side
    1,328,564,361x = 8,146,982,518,709,050,368
  5. Step 5: Solve for x
    x = 8,146,982,518,709,050,368/1,328,564,361
  6. Step 6: Final answer
    x = 6,132,170,000.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.