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Finding the Third Proportional to 894,475,215 and 1,913,307,597

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Solution

The third proportional to 894,475,215 and 1,913,307,597 is: 4,092,618,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,475,215 : 1,913,307,597 = 1,913,307,597 : x
  2. Step 2: Convert to fraction form
    894,475,215/1,913,307,597 = 1,913,307,597/x
  3. Step 3: Cross multiply
    894,475,215x = 1,913,307,597 × 1,913,307,597
  4. Step 4: Simplify right side
    894,475,215x = 3,660,745,960,737,914,368
  5. Step 5: Solve for x
    x = 3,660,745,960,737,914,368/894,475,215
  6. Step 6: Final answer
    x = 4,092,618,665.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.