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Finding the Third Proportional to 561,240,427,602 and 1,152,233,845,285

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Solution

The third proportional to 561,240,427,602 and 1,152,233,845,285 is: 2,365,550,963,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,240,427,602 : 1,152,233,845,285 = 1,152,233,845,285 : x
  2. Step 2: Convert to fraction form
    561,240,427,602/1,152,233,845,285 = 1,152,233,845,285/x
  3. Step 3: Cross multiply
    561,240,427,602x = 1,152,233,845,285 × 1,152,233,845,285
  4. Step 4: Simplify right side
    561,240,427,602x = 1,327,642,834,220,257,351,041,024
  5. Step 5: Solve for x
    x = 1,327,642,834,220,257,351,041,024/561,240,427,602
  6. Step 6: Final answer
    x = 2,365,550,963,413.04

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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.