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Finding the Third Proportional to 51,284,908,832 and 111,398,223,520

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Solution

The third proportional to 51,284,908,832 and 111,398,223,520 is: 241,973,018,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,284,908,832 : 111,398,223,520 = 111,398,223,520 : x
  2. Step 2: Convert to fraction form
    51,284,908,832/111,398,223,520 = 111,398,223,520/x
  3. Step 3: Cross multiply
    51,284,908,832x = 111,398,223,520 × 111,398,223,520
  4. Step 4: Simplify right side
    51,284,908,832x = 12,409,564,203,411,881,066,496
  5. Step 5: Solve for x
    x = 12,409,564,203,411,881,066,496/51,284,908,832
  6. Step 6: Final answer
    x = 241,973,018,691.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.