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Finding the Third Proportional to 2,657,040,502 and 5,708,392,974

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Solution

The third proportional to 2,657,040,502 and 5,708,392,974 is: 12,263,926,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,040,502 : 5,708,392,974 = 5,708,392,974 : x
  2. Step 2: Convert to fraction form
    2,657,040,502/5,708,392,974 = 5,708,392,974/x
  3. Step 3: Cross multiply
    2,657,040,502x = 5,708,392,974 × 5,708,392,974
  4. Step 4: Simplify right side
    2,657,040,502x = 32,585,750,345,612,566,528
  5. Step 5: Solve for x
    x = 32,585,750,345,612,566,528/2,657,040,502
  6. Step 6: Final answer
    x = 12,263,926,846.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.