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Finding the Third Proportional to 12,574,127,987 and 25,517,740,329

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Solution

The third proportional to 12,574,127,987 and 25,517,740,329 is: 51,785,306,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574,127,987 : 25,517,740,329 = 25,517,740,329 : x
  2. Step 2: Convert to fraction form
    12,574,127,987/25,517,740,329 = 25,517,740,329/x
  3. Step 3: Cross multiply
    12,574,127,987x = 25,517,740,329 × 25,517,740,329
  4. Step 4: Simplify right side
    12,574,127,987x = 651,155,071,498,273,030,144
  5. Step 5: Solve for x
    x = 651,155,071,498,273,030,144/12,574,127,987
  6. Step 6: Final answer
    x = 51,785,306,477.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.