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Finding the Third Proportional to 746,178,070 and 1,597,176,418

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Solution

The third proportional to 746,178,070 and 1,597,176,418 is: 3,418,718,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,178,070 : 1,597,176,418 = 1,597,176,418 : x
  2. Step 2: Convert to fraction form
    746,178,070/1,597,176,418 = 1,597,176,418/x
  3. Step 3: Cross multiply
    746,178,070x = 1,597,176,418 × 1,597,176,418
  4. Step 4: Simplify right side
    746,178,070x = 2,550,972,510,215,310,848
  5. Step 5: Solve for x
    x = 2,550,972,510,215,310,848/746,178,070
  6. Step 6: Final answer
    x = 3,418,718,148.89

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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.