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Finding the Third Proportional to 12,170,518.31 and 17,402,710.78

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Solution

The third proportional to 12,170,518.31 and 17,402,710.78 is: 24,884,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170,518.31 : 17,402,710.78 = 17,402,710.78 : x
  2. Step 2: Convert to fraction form
    12,170,518.31/17,402,710.78 = 17,402,710.78/x
  3. Step 3: Cross multiply
    12,170,518.31x = 17,402,710.78 × 17,402,710.78
  4. Step 4: Simplify right side
    12,170,518.31x = 302,854,342,535,835
  5. Step 5: Solve for x
    x = 302,854,342,535,835/12,170,518.31
  6. Step 6: Final answer
    x = 24,884,260.04

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.