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Finding the Third Proportional to 2,549,434.50 and 5,506,042.50

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Solution

The third proportional to 2,549,434.50 and 5,506,042.50 is: 11,891,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549,434.50 : 5,506,042.50 = 5,506,042.50 : x
  2. Step 2: Convert to fraction form
    2,549,434.50/5,506,042.50 = 5,506,042.50/x
  3. Step 3: Cross multiply
    2,549,434.50x = 5,506,042.50 × 5,506,042.50
  4. Step 4: Simplify right side
    2,549,434.50x = 30,316,504,011,806.25
  5. Step 5: Solve for x
    x = 30,316,504,011,806.25/2,549,434.50
  6. Step 6: Final answer
    x = 11,891,462.21

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