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Finding the Third Proportional to 7,567,878.09 and 16,144,783.31

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Solution

The third proportional to 7,567,878.09 and 16,144,783.31 is: 34,442,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,878.09 : 16,144,783.31 = 16,144,783.31 : x
  2. Step 2: Convert to fraction form
    7,567,878.09/16,144,783.31 = 16,144,783.31/x
  3. Step 3: Cross multiply
    7,567,878.09x = 16,144,783.31 × 16,144,783.31
  4. Step 4: Simplify right side
    7,567,878.09x = 260,654,028,207,578.47
  5. Step 5: Solve for x
    x = 260,654,028,207,578.47/7,567,878.09
  6. Step 6: Final answer
    x = 34,442,154.72

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.