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Finding the Third Proportional to 612,526,682.25 and 941,497,402.50

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Solution

The third proportional to 612,526,682.25 and 941,497,402.50 is: 1,447,148,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,526,682.25 : 941,497,402.50 = 941,497,402.50 : x
  2. Step 2: Convert to fraction form
    612,526,682.25/941,497,402.50 = 941,497,402.50/x
  3. Step 3: Cross multiply
    612,526,682.25x = 941,497,402.50 × 941,497,402.50
  4. Step 4: Simplify right side
    612,526,682.25x = 886,417,358,914,247,040
  5. Step 5: Solve for x
    x = 886,417,358,914,247,040/612,526,682.25
  6. Step 6: Final answer
    x = 1,447,148,972.61

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Why These Related Problems?

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