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Finding the Third Proportional to 363,139,368 and 752,117,840

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Solution

The third proportional to 363,139,368 and 752,117,840 is: 1,557,752,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,139,368 : 752,117,840 = 752,117,840 : x
  2. Step 2: Convert to fraction form
    363,139,368/752,117,840 = 752,117,840/x
  3. Step 3: Cross multiply
    363,139,368x = 752,117,840 × 752,117,840
  4. Step 4: Simplify right side
    363,139,368x = 565,681,245,246,265,600
  5. Step 5: Solve for x
    x = 565,681,245,246,265,600/363,139,368
  6. Step 6: Final answer
    x = 1,557,752,463.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.