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Finding the Third Proportional to 3,549,766.50 and 7,657,947

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Solution

The third proportional to 3,549,766.50 and 7,657,947 is: 16,520,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549,766.50 : 7,657,947 = 7,657,947 : x
  2. Step 2: Convert to fraction form
    3,549,766.50/7,657,947 = 7,657,947/x
  3. Step 3: Cross multiply
    3,549,766.50x = 7,657,947 × 7,657,947
  4. Step 4: Simplify right side
    3,549,766.50x = 58,644,152,254,809
  5. Step 5: Solve for x
    x = 58,644,152,254,809/3,549,766.50
  6. Step 6: Final answer
    x = 16,520,566.14

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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.