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Finding the Third Proportional to 2,071,568,586 and 4,438,617,948

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Solution

The third proportional to 2,071,568,586 and 4,438,617,948 is: 9,510,343,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,568,586 : 4,438,617,948 = 4,438,617,948 : x
  2. Step 2: Convert to fraction form
    2,071,568,586/4,438,617,948 = 4,438,617,948/x
  3. Step 3: Cross multiply
    2,071,568,586x = 4,438,617,948 × 4,438,617,948
  4. Step 4: Simplify right side
    2,071,568,586x = 19,701,329,288,307,732,480
  5. Step 5: Solve for x
    x = 19,701,329,288,307,732,480/2,071,568,586
  6. Step 6: Final answer
    x = 9,510,343,718.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.