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Finding the Third Proportional to 921,155,655 and 1,415,155,216.50

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Solution

The third proportional to 921,155,655 and 1,415,155,216.50 is: 2,174,078,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,155,655 : 1,415,155,216.50 = 1,415,155,216.50 : x
  2. Step 2: Convert to fraction form
    921,155,655/1,415,155,216.50 = 1,415,155,216.50/x
  3. Step 3: Cross multiply
    921,155,655x = 1,415,155,216.50 × 1,415,155,216.50
  4. Step 4: Simplify right side
    921,155,655x = 2,002,664,286,787,161,856
  5. Step 5: Solve for x
    x = 2,002,664,286,787,161,856/921,155,655
  6. Step 6: Final answer
    x = 2,174,078,046.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.