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Finding the Third Proportional to 7,782,630.19 and 17,031,337.31

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Solution

The third proportional to 7,782,630.19 and 17,031,337.31 is: 37,271,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,630.19 : 17,031,337.31 = 17,031,337.31 : x
  2. Step 2: Convert to fraction form
    7,782,630.19/17,031,337.31 = 17,031,337.31/x
  3. Step 3: Cross multiply
    7,782,630.19x = 17,031,337.31 × 17,031,337.31
  4. Step 4: Simplify right side
    7,782,630.19x = 290,066,450,652,154.75
  5. Step 5: Solve for x
    x = 290,066,450,652,154.75/7,782,630.19
  6. Step 6: Final answer
    x = 37,271,005.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.