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Finding the Third Proportional to 678,298,516 and 1,469,282,360

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Solution

The third proportional to 678,298,516 and 1,469,282,360 is: 3,182,655,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,298,516 : 1,469,282,360 = 1,469,282,360 : x
  2. Step 2: Convert to fraction form
    678,298,516/1,469,282,360 = 1,469,282,360/x
  3. Step 3: Cross multiply
    678,298,516x = 1,469,282,360 × 1,469,282,360
  4. Step 4: Simplify right side
    678,298,516x = 2,158,790,653,407,169,536
  5. Step 5: Solve for x
    x = 2,158,790,653,407,169,536/678,298,516
  6. Step 6: Final answer
    x = 3,182,655,722.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.