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Finding the Third Proportional to 1,007,140,020 and 2,167,335,084

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Solution

The third proportional to 1,007,140,020 and 2,167,335,084 is: 4,664,040,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,140,020 : 2,167,335,084 = 2,167,335,084 : x
  2. Step 2: Convert to fraction form
    1,007,140,020/2,167,335,084 = 2,167,335,084/x
  3. Step 3: Cross multiply
    1,007,140,020x = 2,167,335,084 × 2,167,335,084
  4. Step 4: Simplify right side
    1,007,140,020x = 4,697,341,366,337,287,168
  5. Step 5: Solve for x
    x = 4,697,341,366,337,287,168/1,007,140,020
  6. Step 6: Final answer
    x = 4,664,040,027.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.