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Finding the Third Proportional to 23,687,074,980 and 52,670,241,854

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Solution

The third proportional to 23,687,074,980 and 52,670,241,854 is: 117,116,798,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687,074,980 : 52,670,241,854 = 52,670,241,854 : x
  2. Step 2: Convert to fraction form
    23,687,074,980/52,670,241,854 = 52,670,241,854/x
  3. Step 3: Cross multiply
    23,687,074,980x = 52,670,241,854 × 52,670,241,854
  4. Step 4: Simplify right side
    23,687,074,980x = 2,774,154,376,958,853,513,216
  5. Step 5: Solve for x
    x = 2,774,154,376,958,853,513,216/23,687,074,980
  6. Step 6: Final answer
    x = 117,116,798,055.53

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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.