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Finding the Third Proportional to 662,506,872 and 1,393,549,951.50

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Solution

The third proportional to 662,506,872 and 1,393,549,951.50 is: 2,931,262,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,506,872 : 1,393,549,951.50 = 1,393,549,951.50 : x
  2. Step 2: Convert to fraction form
    662,506,872/1,393,549,951.50 = 1,393,549,951.50/x
  3. Step 3: Cross multiply
    662,506,872x = 1,393,549,951.50 × 1,393,549,951.50
  4. Step 4: Simplify right side
    662,506,872x = 1,941,981,467,325,652,480
  5. Step 5: Solve for x
    x = 1,941,981,467,325,652,480/662,506,872
  6. Step 6: Final answer
    x = 2,931,262,375.38

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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.