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Finding the Third Proportional to 6,148,101.23 and 9,022,656.45

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Solution

The third proportional to 6,148,101.23 and 9,022,656.45 is: 13,241,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148,101.23 : 9,022,656.45 = 9,022,656.45 : x
  2. Step 2: Convert to fraction form
    6,148,101.23/9,022,656.45 = 9,022,656.45/x
  3. Step 3: Cross multiply
    6,148,101.23x = 9,022,656.45 × 9,022,656.45
  4. Step 4: Simplify right side
    6,148,101.23x = 81,408,329,330,139.20
  5. Step 5: Solve for x
    x = 81,408,329,330,139.20/6,148,101.23
  6. Step 6: Final answer
    x = 13,241,214.84

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