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Finding the Third Proportional to 27,962,186,892 and 61,337,997,159

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Solution

The third proportional to 27,962,186,892 and 61,337,997,159 is: 134,551,346,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962,186,892 : 61,337,997,159 = 61,337,997,159 : x
  2. Step 2: Convert to fraction form
    27,962,186,892/61,337,997,159 = 61,337,997,159/x
  3. Step 3: Cross multiply
    27,962,186,892x = 61,337,997,159 × 61,337,997,159
  4. Step 4: Simplify right side
    27,962,186,892x = 3,762,349,895,477,492,187,136
  5. Step 5: Solve for x
    x = 3,762,349,895,477,492,187,136/27,962,186,892
  6. Step 6: Final answer
    x = 134,551,346,431.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.