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Finding the Third Proportional to 653,040,888 and 1,420,867,920

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Solution

The third proportional to 653,040,888 and 1,420,867,920 is: 3,091,484,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,040,888 : 1,420,867,920 = 1,420,867,920 : x
  2. Step 2: Convert to fraction form
    653,040,888/1,420,867,920 = 1,420,867,920/x
  3. Step 3: Cross multiply
    653,040,888x = 1,420,867,920 × 1,420,867,920
  4. Step 4: Simplify right side
    653,040,888x = 2,018,865,646,085,126,400
  5. Step 5: Solve for x
    x = 2,018,865,646,085,126,400/653,040,888
  6. Step 6: Final answer
    x = 3,091,484,290.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.