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Finding the Third Proportional to 561,240,427,600 and 1,152,233,845,281

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Solution

The third proportional to 561,240,427,600 and 1,152,233,845,281 is: 2,365,550,963,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,240,427,600 : 1,152,233,845,281 = 1,152,233,845,281 : x
  2. Step 2: Convert to fraction form
    561,240,427,600/1,152,233,845,281 = 1,152,233,845,281/x
  3. Step 3: Cross multiply
    561,240,427,600x = 1,152,233,845,281 × 1,152,233,845,281
  4. Step 4: Simplify right side
    561,240,427,600x = 1,327,642,834,211,039,545,917,440
  5. Step 5: Solve for x
    x = 1,327,642,834,211,039,545,917,440/561,240,427,600
  6. Step 6: Final answer
    x = 2,365,550,963,405.05

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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.