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Finding the Third Proportional to 662,506,869.38 and 1,393,549,944.75

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Solution

The third proportional to 662,506,869.38 and 1,393,549,944.75 is: 2,931,262,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,506,869.38 : 1,393,549,944.75 = 1,393,549,944.75 : x
  2. Step 2: Convert to fraction form
    662,506,869.38/1,393,549,944.75 = 1,393,549,944.75/x
  3. Step 3: Cross multiply
    662,506,869.38x = 1,393,549,944.75 × 1,393,549,944.75
  4. Step 4: Simplify right side
    662,506,869.38x = 1,941,981,448,512,728,064
  5. Step 5: Solve for x
    x = 1,941,981,448,512,728,064/662,506,869.38
  6. Step 6: Final answer
    x = 2,931,262,358.60

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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.