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Finding the Third Proportional to 4,566,964.50 and 9,822,830.63

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Solution

The third proportional to 4,566,964.50 and 9,822,830.63 is: 21,127,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566,964.50 : 9,822,830.63 = 9,822,830.63 : x
  2. Step 2: Convert to fraction form
    4,566,964.50/9,822,830.63 = 9,822,830.63/x
  3. Step 3: Cross multiply
    4,566,964.50x = 9,822,830.63 × 9,822,830.63
  4. Step 4: Simplify right side
    4,566,964.50x = 96,488,001,487,437.89
  5. Step 5: Solve for x
    x = 96,488,001,487,437.89/4,566,964.50
  6. Step 6: Final answer
    x = 21,127,381.54

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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.