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Finding the Third Proportional to 415,368,516 and 886,332,840

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Solution

The third proportional to 415,368,516 and 886,332,840 is: 1,891,298,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,368,516 : 886,332,840 = 886,332,840 : x
  2. Step 2: Convert to fraction form
    415,368,516/886,332,840 = 886,332,840/x
  3. Step 3: Cross multiply
    415,368,516x = 886,332,840 × 886,332,840
  4. Step 4: Simplify right side
    415,368,516x = 785,585,903,262,465,536
  5. Step 5: Solve for x
    x = 785,585,903,262,465,536/415,368,516
  6. Step 6: Final answer
    x = 1,891,298,625.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.