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Finding the Third Proportional to 746,178,068.25 and 1,597,176,414

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Solution

The third proportional to 746,178,068.25 and 1,597,176,414 is: 3,418,718,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,178,068.25 : 1,597,176,414 = 1,597,176,414 : x
  2. Step 2: Convert to fraction form
    746,178,068.25/1,597,176,414 = 1,597,176,414/x
  3. Step 3: Cross multiply
    746,178,068.25x = 1,597,176,414 × 1,597,176,414
  4. Step 4: Simplify right side
    746,178,068.25x = 2,550,972,497,437,899,264
  5. Step 5: Solve for x
    x = 2,550,972,497,437,899,264/746,178,068.25
  6. Step 6: Final answer
    x = 3,418,718,139.79

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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.