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Finding the Third Proportional to 3,409,071.68 and 7,358,947.45

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Solution

The third proportional to 3,409,071.68 and 7,358,947.45 is: 15,885,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,071.68 : 7,358,947.45 = 7,358,947.45 : x
  2. Step 2: Convert to fraction form
    3,409,071.68/7,358,947.45 = 7,358,947.45/x
  3. Step 3: Cross multiply
    3,409,071.68x = 7,358,947.45 × 7,358,947.45
  4. Step 4: Simplify right side
    3,409,071.68x = 54,154,107,617,851.98
  5. Step 5: Solve for x
    x = 54,154,107,617,851.98/3,409,071.68
  6. Step 6: Final answer
    x = 15,885,294.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.