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Finding the Third Proportional to 8,461,596 and 12,712,594.50

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Solution

The third proportional to 8,461,596 and 12,712,594.50 is: 19,099,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,596 : 12,712,594.50 = 12,712,594.50 : x
  2. Step 2: Convert to fraction form
    8,461,596/12,712,594.50 = 12,712,594.50/x
  3. Step 3: Cross multiply
    8,461,596x = 12,712,594.50 × 12,712,594.50
  4. Step 4: Simplify right side
    8,461,596x = 161,610,058,921,430.25
  5. Step 5: Solve for x
    x = 161,610,058,921,430.25/8,461,596
  6. Step 6: Final answer
    x = 19,099,240.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.