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Finding the Third Proportional to 2,566,452,718 and 5,501,243,210

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Solution

The third proportional to 2,566,452,718 and 5,501,243,210 is: 11,792,025,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,452,718 : 5,501,243,210 = 5,501,243,210 : x
  2. Step 2: Convert to fraction form
    2,566,452,718/5,501,243,210 = 5,501,243,210/x
  3. Step 3: Cross multiply
    2,566,452,718x = 5,501,243,210 × 5,501,243,210
  4. Step 4: Simplify right side
    2,566,452,718x = 30,263,676,855,571,103,744
  5. Step 5: Solve for x
    x = 30,263,676,855,571,103,744/2,566,452,718
  6. Step 6: Final answer
    x = 11,792,025,874.20

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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.