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Finding the Third Proportional to 723,241,385 and 1,569,777,083

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Solution

The third proportional to 723,241,385 and 1,569,777,083 is: 3,407,161,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,241,385 : 1,569,777,083 = 1,569,777,083 : x
  2. Step 2: Convert to fraction form
    723,241,385/1,569,777,083 = 1,569,777,083/x
  3. Step 3: Cross multiply
    723,241,385x = 1,569,777,083 × 1,569,777,083
  4. Step 4: Simplify right side
    723,241,385x = 2,464,200,090,311,988,736
  5. Step 5: Solve for x
    x = 2,464,200,090,311,988,736/723,241,385
  6. Step 6: Final answer
    x = 3,407,161,345.33

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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.