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Finding the Third Proportional to 8,197,468.31 and 12,030,208.59

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Solution

The third proportional to 8,197,468.31 and 12,030,208.59 is: 17,654,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197,468.31 : 12,030,208.59 = 12,030,208.59 : x
  2. Step 2: Convert to fraction form
    8,197,468.31/12,030,208.59 = 12,030,208.59/x
  3. Step 3: Cross multiply
    8,197,468.31x = 12,030,208.59 × 12,030,208.59
  4. Step 4: Simplify right side
    8,197,468.31x = 144,725,918,809,136.34
  5. Step 5: Solve for x
    x = 144,725,918,809,136.34/8,197,468.31
  6. Step 6: Final answer
    x = 17,654,953.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.