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Finding the Third Proportional to 2,941,506 and 6,403,882.50

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Solution

The third proportional to 2,941,506 and 6,403,882.50 is: 13,941,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941,506 : 6,403,882.50 = 6,403,882.50 : x
  2. Step 2: Convert to fraction form
    2,941,506/6,403,882.50 = 6,403,882.50/x
  3. Step 3: Cross multiply
    2,941,506x = 6,403,882.50 × 6,403,882.50
  4. Step 4: Simplify right side
    2,941,506x = 41,009,711,073,806.25
  5. Step 5: Solve for x
    x = 41,009,711,073,806.25/2,941,506
  6. Step 6: Final answer
    x = 13,941,739.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.