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Finding the Third Proportional to 2,046,814,637 and 3,144,157,687

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Solution

The third proportional to 2,046,814,637 and 3,144,157,687 is: 4,829,810,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,814,637 : 3,144,157,687 = 3,144,157,687 : x
  2. Step 2: Convert to fraction form
    2,046,814,637/3,144,157,687 = 3,144,157,687/x
  3. Step 3: Cross multiply
    2,046,814,637x = 3,144,157,687 × 3,144,157,687
  4. Step 4: Simplify right side
    2,046,814,637x = 9,885,727,560,721,190,912
  5. Step 5: Solve for x
    x = 9,885,727,560,721,190,912/2,046,814,637
  6. Step 6: Final answer
    x = 4,829,810,859.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.