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Finding the Third Proportional to 614,863,290 and 1,327,700,895

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Solution

The third proportional to 614,863,290 and 1,327,700,895 is: 2,866,961,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,863,290 : 1,327,700,895 = 1,327,700,895 : x
  2. Step 2: Convert to fraction form
    614,863,290/1,327,700,895 = 1,327,700,895/x
  3. Step 3: Cross multiply
    614,863,290x = 1,327,700,895 × 1,327,700,895
  4. Step 4: Simplify right side
    614,863,290x = 1,762,789,666,583,801,088
  5. Step 5: Solve for x
    x = 1,762,789,666,583,801,088/614,863,290
  6. Step 6: Final answer
    x = 2,866,961,965.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.