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Finding the Third Proportional to 23,687,075,014 and 52,670,241,914

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Solution

The third proportional to 23,687,075,014 and 52,670,241,914 is: 117,116,798,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687,075,014 : 52,670,241,914 = 52,670,241,914 : x
  2. Step 2: Convert to fraction form
    23,687,075,014/52,670,241,914 = 52,670,241,914/x
  3. Step 3: Cross multiply
    23,687,075,014x = 52,670,241,914 × 52,670,241,914
  4. Step 4: Simplify right side
    23,687,075,014x = 2,774,154,383,279,282,192,384
  5. Step 5: Solve for x
    x = 2,774,154,383,279,282,192,384/23,687,075,014
  6. Step 6: Final answer
    x = 117,116,798,154.25

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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.