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Finding the Third Proportional to 3,438,480,642 and 5,161,360,347

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Solution

The third proportional to 3,438,480,642 and 5,161,360,347 is: 7,747,503,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438,480,642 : 5,161,360,347 = 5,161,360,347 : x
  2. Step 2: Convert to fraction form
    3,438,480,642/5,161,360,347 = 5,161,360,347/x
  3. Step 3: Cross multiply
    3,438,480,642x = 5,161,360,347 × 5,161,360,347
  4. Step 4: Simplify right side
    3,438,480,642x = 26,639,640,631,583,961,088
  5. Step 5: Solve for x
    x = 26,639,640,631,583,961,088/3,438,480,642
  6. Step 6: Final answer
    x = 7,747,503,448.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.