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Finding the Third Proportional to 2,849,160,708 and 6,188,788,392

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Solution

The third proportional to 2,849,160,708 and 6,188,788,392 is: 13,442,941,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849,160,708 : 6,188,788,392 = 6,188,788,392 : x
  2. Step 2: Convert to fraction form
    2,849,160,708/6,188,788,392 = 6,188,788,392/x
  3. Step 3: Cross multiply
    2,849,160,708x = 6,188,788,392 × 6,188,788,392
  4. Step 4: Simplify right side
    2,849,160,708x = 38,301,101,760,953,942,016
  5. Step 5: Solve for x
    x = 38,301,101,760,953,942,016/2,849,160,708
  6. Step 6: Final answer
    x = 13,442,941,864.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.