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Finding the Third Proportional to 5,031,002.63 and 7,845,438.94

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Solution

The third proportional to 5,031,002.63 and 7,845,438.94 is: 12,234,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031,002.63 : 7,845,438.94 = 7,845,438.94 : x
  2. Step 2: Convert to fraction form
    5,031,002.63/7,845,438.94 = 7,845,438.94/x
  3. Step 3: Cross multiply
    5,031,002.63x = 7,845,438.94 × 7,845,438.94
  4. Step 4: Simplify right side
    5,031,002.63x = 61,550,912,122,041.12
  5. Step 5: Solve for x
    x = 61,550,912,122,041.12/5,031,002.63
  6. Step 6: Final answer
    x = 12,234,323.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.