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Finding the Third Proportional to 649,612,916 and 1,533,020,541

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Solution

The third proportional to 649,612,916 and 1,533,020,541 is: 3,617,772,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,612,916 : 1,533,020,541 = 1,533,020,541 : x
  2. Step 2: Convert to fraction form
    649,612,916/1,533,020,541 = 1,533,020,541/x
  3. Step 3: Cross multiply
    649,612,916x = 1,533,020,541 × 1,533,020,541
  4. Step 4: Simplify right side
    649,612,916x = 2,350,151,979,127,932,928
  5. Step 5: Solve for x
    x = 2,350,151,979,127,932,928/649,612,916
  6. Step 6: Final answer
    x = 3,617,772,863.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.