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Finding the Third Proportional to 7,864,209 and 10,625,038.31

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Solution

The third proportional to 7,864,209 and 10,625,038.31 is: 14,355,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864,209 : 10,625,038.31 = 10,625,038.31 : x
  2. Step 2: Convert to fraction form
    7,864,209/10,625,038.31 = 10,625,038.31/x
  3. Step 3: Cross multiply
    7,864,209x = 10,625,038.31 × 10,625,038.31
  4. Step 4: Simplify right side
    7,864,209x = 112,891,439,142,092.84
  5. Step 5: Solve for x
    x = 112,891,439,142,092.84/7,864,209
  6. Step 6: Final answer
    x = 14,355,091.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.