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Finding the Third Proportional to 12,266,288,577 and 26,681,757,840

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Solution

The third proportional to 12,266,288,577 and 26,681,757,840 is: 58,038,435,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266,288,577 : 26,681,757,840 = 26,681,757,840 : x
  2. Step 2: Convert to fraction form
    12,266,288,577/26,681,757,840 = 26,681,757,840/x
  3. Step 3: Cross multiply
    12,266,288,577x = 26,681,757,840 × 26,681,757,840
  4. Step 4: Simplify right side
    12,266,288,577x = 711,916,201,432,401,444,864
  5. Step 5: Solve for x
    x = 711,916,201,432,401,444,864/12,266,288,577
  6. Step 6: Final answer
    x = 58,038,435,747.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.