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Finding the Third Proportional to 612,526,671 and 941,497,384.50

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Solution

The third proportional to 612,526,671 and 941,497,384.50 is: 1,447,148,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,526,671 : 941,497,384.50 = 941,497,384.50 : x
  2. Step 2: Convert to fraction form
    612,526,671/941,497,384.50 = 941,497,384.50/x
  3. Step 3: Cross multiply
    612,526,671x = 941,497,384.50 × 941,497,384.50
  4. Step 4: Simplify right side
    612,526,671x = 886,417,325,020,340,864
  5. Step 5: Solve for x
    x = 886,417,325,020,340,864/612,526,671
  6. Step 6: Final answer
    x = 1,447,148,943.85

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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.