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Finding the Third Proportional to 894,798,225 and 1,944,482,442.75

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Solution

The third proportional to 894,798,225 and 1,944,482,442.75 is: 4,225,547,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,798,225 : 1,944,482,442.75 = 1,944,482,442.75 : x
  2. Step 2: Convert to fraction form
    894,798,225/1,944,482,442.75 = 1,944,482,442.75/x
  3. Step 3: Cross multiply
    894,798,225x = 1,944,482,442.75 × 1,944,482,442.75
  4. Step 4: Simplify right side
    894,798,225x = 3,781,011,970,163,006,976
  5. Step 5: Solve for x
    x = 3,781,011,970,163,006,976/894,798,225
  6. Step 6: Final answer
    x = 4,225,547,016.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.