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Finding the Third Proportional to 18,181,789,616 and 42,480,864,506

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Solution

The third proportional to 18,181,789,616 and 42,480,864,506 is: 99,254,467,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,181,789,616 : 42,480,864,506 = 42,480,864,506 : x
  2. Step 2: Convert to fraction form
    18,181,789,616/42,480,864,506 = 42,480,864,506/x
  3. Step 3: Cross multiply
    18,181,789,616x = 42,480,864,506 × 42,480,864,506
  4. Step 4: Simplify right side
    18,181,789,616x = 1,804,623,849,177,130,729,472
  5. Step 5: Solve for x
    x = 1,804,623,849,177,130,729,472/18,181,789,616
  6. Step 6: Final answer
    x = 99,254,467,645.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.