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Finding the Third Proportional to 416,536,519 and 867,549,470

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Solution

The third proportional to 416,536,519 and 867,549,470 is: 1,806,905,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,536,519 : 867,549,470 = 867,549,470 : x
  2. Step 2: Convert to fraction form
    416,536,519/867,549,470 = 867,549,470/x
  3. Step 3: Cross multiply
    416,536,519x = 867,549,470 × 867,549,470
  4. Step 4: Simplify right side
    416,536,519x = 752,642,082,897,280,896
  5. Step 5: Solve for x
    x = 752,642,082,897,280,896/416,536,519
  6. Step 6: Final answer
    x = 1,806,905,393.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.