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Finding the Third Proportional to 7,453,706.06 and 15,970,294.13

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Solution

The third proportional to 7,453,706.06 and 15,970,294.13 is: 34,217,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453,706.06 : 15,970,294.13 = 15,970,294.13 : x
  2. Step 2: Convert to fraction form
    7,453,706.06/15,970,294.13 = 15,970,294.13/x
  3. Step 3: Cross multiply
    7,453,706.06x = 15,970,294.13 × 15,970,294.13
  4. Step 4: Simplify right side
    7,453,706.06x = 255,050,294,439,009.50
  5. Step 5: Solve for x
    x = 255,050,294,439,009.50/7,453,706.06
  6. Step 6: Final answer
    x = 34,217,916.87

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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.