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Finding the Third Proportional to 4,566,952.50 and 9,822,809.50

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Solution

The third proportional to 4,566,952.50 and 9,822,809.50 is: 21,127,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566,952.50 : 9,822,809.50 = 9,822,809.50 : x
  2. Step 2: Convert to fraction form
    4,566,952.50/9,822,809.50 = 9,822,809.50/x
  3. Step 3: Cross multiply
    4,566,952.50x = 9,822,809.50 × 9,822,809.50
  4. Step 4: Simplify right side
    4,566,952.50x = 96,487,586,473,290.25
  5. Step 5: Solve for x
    x = 96,487,586,473,290.25/4,566,952.50
  6. Step 6: Final answer
    x = 21,127,346.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.