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Finding the Third Proportional to 11,867,221,760 and 24,711,066,304

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Solution

The third proportional to 11,867,221,760 and 24,711,066,304 is: 51,455,750,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867,221,760 : 24,711,066,304 = 24,711,066,304 : x
  2. Step 2: Convert to fraction form
    11,867,221,760/24,711,066,304 = 24,711,066,304/x
  3. Step 3: Cross multiply
    11,867,221,760x = 24,711,066,304 × 24,711,066,304
  4. Step 4: Simplify right side
    11,867,221,760x = 610,636,797,880,684,249,088
  5. Step 5: Solve for x
    x = 610,636,797,880,684,249,088/11,867,221,760
  6. Step 6: Final answer
    x = 51,455,750,151.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.