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Finding the Third Proportional to 281,195,535,864 and 616,112,748,040

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Solution

The third proportional to 281,195,535,864 and 616,112,748,040 is: 1,349,932,235,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,195,535,864 : 616,112,748,040 = 616,112,748,040 : x
  2. Step 2: Convert to fraction form
    281,195,535,864/616,112,748,040 = 616,112,748,040/x
  3. Step 3: Cross multiply
    281,195,535,864x = 616,112,748,040 × 616,112,748,040
  4. Step 4: Simplify right side
    281,195,535,864x = 379,594,918,297,400,502,124,544
  5. Step 5: Solve for x
    x = 379,594,918,297,400,502,124,544/281,195,535,864
  6. Step 6: Final answer
    x = 1,349,932,235,343.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.