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Finding the Third Proportional to 7,708,497.26 and 17,140,477.71

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Solution

The third proportional to 7,708,497.26 and 17,140,477.71 is: 38,113,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708,497.26 : 17,140,477.71 = 17,140,477.71 : x
  2. Step 2: Convert to fraction form
    7,708,497.26/17,140,477.71 = 17,140,477.71/x
  3. Step 3: Cross multiply
    7,708,497.26x = 17,140,477.71 × 17,140,477.71
  4. Step 4: Simplify right side
    7,708,497.26x = 293,795,976,159,162.38
  5. Step 5: Solve for x
    x = 293,795,976,159,162.38/7,708,497.26
  6. Step 6: Final answer
    x = 38,113,262.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.