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Finding the Third Proportional to 23,687,075,002 and 52,670,241,890

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Solution

The third proportional to 23,687,075,002 and 52,670,241,890 is: 117,116,798,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687,075,002 : 52,670,241,890 = 52,670,241,890 : x
  2. Step 2: Convert to fraction form
    23,687,075,002/52,670,241,890 = 52,670,241,890/x
  3. Step 3: Cross multiply
    23,687,075,002x = 52,670,241,890 × 52,670,241,890
  4. Step 4: Simplify right side
    23,687,075,002x = 2,774,154,380,751,110,930,432
  5. Step 5: Solve for x
    x = 2,774,154,380,751,110,930,432/23,687,075,002
  6. Step 6: Final answer
    x = 117,116,798,106.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.