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Finding the Third Proportional to 682,051,432 and 1,478,804,534

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Solution

The third proportional to 682,051,432 and 1,478,804,534 is: 3,206,301,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,051,432 : 1,478,804,534 = 1,478,804,534 : x
  2. Step 2: Convert to fraction form
    682,051,432/1,478,804,534 = 1,478,804,534/x
  3. Step 3: Cross multiply
    682,051,432x = 1,478,804,534 × 1,478,804,534
  4. Step 4: Simplify right side
    682,051,432x = 2,186,862,849,778,957,056
  5. Step 5: Solve for x
    x = 2,186,862,849,778,957,056/682,051,432
  6. Step 6: Final answer
    x = 3,206,301,969.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.