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Finding the Third Proportional to 3,407,624,903 and 5,092,656,053

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Solution

The third proportional to 3,407,624,903 and 5,092,656,053 is: 7,610,915,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,624,903 : 5,092,656,053 = 5,092,656,053 : x
  2. Step 2: Convert to fraction form
    3,407,624,903/5,092,656,053 = 5,092,656,053/x
  3. Step 3: Cross multiply
    3,407,624,903x = 5,092,656,053 × 5,092,656,053
  4. Step 4: Simplify right side
    3,407,624,903x = 25,935,145,674,157,539,328
  5. Step 5: Solve for x
    x = 25,935,145,674,157,539,328/3,407,624,903
  6. Step 6: Final answer
    x = 7,610,915,641.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.