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Finding the Third Proportional to 662,506,864 and 1,393,549,934

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Solution

The third proportional to 662,506,864 and 1,393,549,934 is: 2,931,262,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,506,864 : 1,393,549,934 = 1,393,549,934 : x
  2. Step 2: Convert to fraction form
    662,506,864/1,393,549,934 = 1,393,549,934/x
  3. Step 3: Cross multiply
    662,506,864x = 1,393,549,934 × 1,393,549,934
  4. Step 4: Simplify right side
    662,506,864x = 1,941,981,418,551,404,288
  5. Step 5: Solve for x
    x = 1,941,981,418,551,404,288/662,506,864
  6. Step 6: Final answer
    x = 2,931,262,337.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.