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Finding the Third Proportional to 6,037,294.50 and 9,032,036.63

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Solution

The third proportional to 6,037,294.50 and 9,032,036.63 is: 13,512,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037,294.50 : 9,032,036.63 = 9,032,036.63 : x
  2. Step 2: Convert to fraction form
    6,037,294.50/9,032,036.63 = 9,032,036.63/x
  3. Step 3: Cross multiply
    6,037,294.50x = 9,032,036.63 × 9,032,036.63
  4. Step 4: Simplify right side
    6,037,294.50x = 81,577,685,595,341.39
  5. Step 5: Solve for x
    x = 81,577,685,595,341.39/6,037,294.50
  6. Step 6: Final answer
    x = 13,512,291.90

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