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Finding the Third Proportional to 7,971,386,120.16 and 17,125,751,601.28

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Solution

The third proportional to 7,971,386,120.16 and 17,125,751,601.28 is: 36,793,019,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971,386,120.16 : 17,125,751,601.28 = 17,125,751,601.28 : x
  2. Step 2: Convert to fraction form
    7,971,386,120.16/17,125,751,601.28 = 17,125,751,601.28/x
  3. Step 3: Cross multiply
    7,971,386,120.16x = 17,125,751,601.28 × 17,125,751,601.28
  4. Step 4: Simplify right side
    7,971,386,120.16x = 293,291,367,908,812,980,224
  5. Step 5: Solve for x
    x = 293,291,367,908,812,980,224/7,971,386,120.16
  6. Step 6: Final answer
    x = 36,793,019,869.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.