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Finding the Third Proportional to 7,292,144 and 15,896,416

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Solution

The third proportional to 7,292,144 and 15,896,416 is: 34,653,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292,144 : 15,896,416 = 15,896,416 : x
  2. Step 2: Convert to fraction form
    7,292,144/15,896,416 = 15,896,416/x
  3. Step 3: Cross multiply
    7,292,144x = 15,896,416 × 15,896,416
  4. Step 4: Simplify right side
    7,292,144x = 252,696,041,645,056
  5. Step 5: Solve for x
    x = 252,696,041,645,056/7,292,144
  6. Step 6: Final answer
    x = 34,653,188.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.