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Finding the Third Proportional to 157,875,454,972 and 340,913,519,432

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Solution

The third proportional to 157,875,454,972 and 340,913,519,432 is: 736,162,741,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,875,454,972 : 340,913,519,432 = 340,913,519,432 : x
  2. Step 2: Convert to fraction form
    157,875,454,972/340,913,519,432 = 340,913,519,432/x
  3. Step 3: Cross multiply
    157,875,454,972x = 340,913,519,432 × 340,913,519,432
  4. Step 4: Simplify right side
    157,875,454,972x = 116,222,027,731,512,636,473,344
  5. Step 5: Solve for x
    x = 116,222,027,731,512,636,473,344/157,875,454,972
  6. Step 6: Final answer
    x = 736,162,741,397.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.