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Finding the Third Proportional to 972,872,264 and 2,140,317,072

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Solution

The third proportional to 972,872,264 and 2,140,317,072 is: 4,708,693,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,872,264 : 2,140,317,072 = 2,140,317,072 : x
  2. Step 2: Convert to fraction form
    972,872,264/2,140,317,072 = 2,140,317,072/x
  3. Step 3: Cross multiply
    972,872,264x = 2,140,317,072 × 2,140,317,072
  4. Step 4: Simplify right side
    972,872,264x = 4,580,957,168,694,652,928
  5. Step 5: Solve for x
    x = 4,580,957,168,694,652,928/972,872,264
  6. Step 6: Final answer
    x = 4,708,693,359.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.