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Finding the Third Proportional to 15,109,497 and 32,374,896.75

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Solution

The third proportional to 15,109,497 and 32,374,896.75 is: 69,369,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109,497 : 32,374,896.75 = 32,374,896.75 : x
  2. Step 2: Convert to fraction form
    15,109,497/32,374,896.75 = 32,374,896.75/x
  3. Step 3: Cross multiply
    15,109,497x = 32,374,896.75 × 32,374,896.75
  4. Step 4: Simplify right side
    15,109,497x = 1,048,133,939,573,160.50
  5. Step 5: Solve for x
    x = 1,048,133,939,573,160.50/15,109,497
  6. Step 6: Final answer
    x = 69,369,214.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.