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Finding the Third Proportional to 905,842,688.06 and 1,981,247,860.13

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Solution

The third proportional to 905,842,688.06 and 1,981,247,860.13 is: 4,333,360,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,842,688.06 : 1,981,247,860.13 = 1,981,247,860.13 : x
  2. Step 2: Convert to fraction form
    905,842,688.06/1,981,247,860.13 = 1,981,247,860.13/x
  3. Step 3: Cross multiply
    905,842,688.06x = 1,981,247,860.13 × 1,981,247,860.13
  4. Step 4: Simplify right side
    905,842,688.06x = 3,925,343,083,249,891,328
  5. Step 5: Solve for x
    x = 3,925,343,083,249,891,328/905,842,688.06
  6. Step 6: Final answer
    x = 4,333,360,676.17

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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.