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Finding the Third Proportional to 764,658,640.13 and 1,646,976,432.38

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Solution

The third proportional to 764,658,640.13 and 1,646,976,432.38 is: 3,547,375,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,658,640.13 : 1,646,976,432.38 = 1,646,976,432.38 : x
  2. Step 2: Convert to fraction form
    764,658,640.13/1,646,976,432.38 = 1,646,976,432.38/x
  3. Step 3: Cross multiply
    764,658,640.13x = 1,646,976,432.38 × 1,646,976,432.38
  4. Step 4: Simplify right side
    764,658,640.13x = 2,712,531,368,798,683,136
  5. Step 5: Solve for x
    x = 2,712,531,368,798,683,136/764,658,640.13
  6. Step 6: Final answer
    x = 3,547,375,556.18

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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.