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Finding the Third Proportional to 23,687,074,998 and 52,670,241,882

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Solution

The third proportional to 23,687,074,998 and 52,670,241,882 is: 117,116,798,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687,074,998 : 52,670,241,882 = 52,670,241,882 : x
  2. Step 2: Convert to fraction form
    23,687,074,998/52,670,241,882 = 52,670,241,882/x
  3. Step 3: Cross multiply
    23,687,074,998x = 52,670,241,882 × 52,670,241,882
  4. Step 4: Simplify right side
    23,687,074,998x = 2,774,154,379,908,386,652,160
  5. Step 5: Solve for x
    x = 2,774,154,379,908,386,652,160/23,687,074,998
  6. Step 6: Final answer
    x = 117,116,798,091.05

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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.