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Finding the Third Proportional to 1,215,454,709.53 and 2,813,602,468.78

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Solution

The third proportional to 1,215,454,709.53 and 2,813,602,468.78 is: 6,513,084,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,454,709.53 : 2,813,602,468.78 = 2,813,602,468.78 : x
  2. Step 2: Convert to fraction form
    1,215,454,709.53/2,813,602,468.78 = 2,813,602,468.78/x
  3. Step 3: Cross multiply
    1,215,454,709.53x = 2,813,602,468.78 × 2,813,602,468.78
  4. Step 4: Simplify right side
    1,215,454,709.53x = 7,916,358,852,331,663,360
  5. Step 5: Solve for x
    x = 7,916,358,852,331,663,360/1,215,454,709.53
  6. Step 6: Final answer
    x = 6,513,084,190.02

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.