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Finding the Third Proportional to 16,307,084.53 and 34,948,477.69

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Solution

The third proportional to 16,307,084.53 and 34,948,477.69 is: 74,899,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307,084.53 : 34,948,477.69 = 34,948,477.69 : x
  2. Step 2: Convert to fraction form
    16,307,084.53/34,948,477.69 = 34,948,477.69/x
  3. Step 3: Cross multiply
    16,307,084.53x = 34,948,477.69 × 34,948,477.69
  4. Step 4: Simplify right side
    16,307,084.53x = 1,221,396,092,673,685.25
  5. Step 5: Solve for x
    x = 1,221,396,092,673,685.25/16,307,084.53
  6. Step 6: Final answer
    x = 74,899,721.67

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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.