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Finding the Third Proportional to 1,216,595,952 and 2,497,687,200

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Solution

The third proportional to 1,216,595,952 and 2,497,687,200 is: 5,127,784,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,595,952 : 2,497,687,200 = 2,497,687,200 : x
  2. Step 2: Convert to fraction form
    1,216,595,952/2,497,687,200 = 2,497,687,200/x
  3. Step 3: Cross multiply
    1,216,595,952x = 2,497,687,200 × 2,497,687,200
  4. Step 4: Simplify right side
    1,216,595,952x = 6,238,441,349,043,840,000
  5. Step 5: Solve for x
    x = 6,238,441,349,043,840,000/1,216,595,952
  6. Step 6: Final answer
    x = 5,127,784,075.55

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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.