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Finding the Third Proportional to 42,437,685,580.59 and 86,122,380,860.16

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Solution

The third proportional to 42,437,685,580.59 and 86,122,380,860.16 is: 174,775,423,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,437,685,580.59 : 86,122,380,860.16 = 86,122,380,860.16 : x
  2. Step 2: Convert to fraction form
    42,437,685,580.59/86,122,380,860.16 = 86,122,380,860.16/x
  3. Step 3: Cross multiply
    42,437,685,580.59x = 86,122,380,860.16 × 86,122,380,860.16
  4. Step 4: Simplify right side
    42,437,685,580.59x = 7,417,064,485,022,454,513,664
  5. Step 5: Solve for x
    x = 7,417,064,485,022,454,513,664/42,437,685,580.59
  6. Step 6: Final answer
    x = 174,775,423,860.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.