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Finding the Third Proportional to 1,216,595,957 and 2,497,687,210

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Solution

The third proportional to 1,216,595,957 and 2,497,687,210 is: 5,127,784,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,595,957 : 2,497,687,210 = 2,497,687,210 : x
  2. Step 2: Convert to fraction form
    1,216,595,957/2,497,687,210 = 2,497,687,210/x
  3. Step 3: Cross multiply
    1,216,595,957x = 2,497,687,210 × 2,497,687,210
  4. Step 4: Simplify right side
    1,216,595,957x = 6,238,441,398,997,583,872
  5. Step 5: Solve for x
    x = 6,238,441,398,997,583,872/1,216,595,957
  6. Step 6: Final answer
    x = 5,127,784,095.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.