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Finding the Third Proportional to 561,240,427,723 and 1,152,233,845,502

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Solution

The third proportional to 561,240,427,723 and 1,152,233,845,502 is: 2,365,550,963,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,240,427,723 : 1,152,233,845,502 = 1,152,233,845,502 : x
  2. Step 2: Convert to fraction form
    561,240,427,723/1,152,233,845,502 = 1,152,233,845,502/x
  3. Step 3: Cross multiply
    561,240,427,723x = 1,152,233,845,502 × 1,152,233,845,502
  4. Step 4: Simplify right side
    561,240,427,723x = 1,327,642,834,720,326,835,765,248
  5. Step 5: Solve for x
    x = 1,327,642,834,720,326,835,765,248/561,240,427,723
  6. Step 6: Final answer
    x = 2,365,550,963,794.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.