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Finding the Third Proportional to 1,218,400,306 and 1,883,491,538

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Solution

The third proportional to 1,218,400,306 and 1,883,491,538 is: 2,911,637,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,400,306 : 1,883,491,538 = 1,883,491,538 : x
  2. Step 2: Convert to fraction form
    1,218,400,306/1,883,491,538 = 1,883,491,538/x
  3. Step 3: Cross multiply
    1,218,400,306x = 1,883,491,538 × 1,883,491,538
  4. Step 4: Simplify right side
    1,218,400,306x = 3,547,540,373,717,605,376
  5. Step 5: Solve for x
    x = 3,547,540,373,717,605,376/1,218,400,306
  6. Step 6: Final answer
    x = 2,911,637,789.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.