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Finding the Third Proportional to 545,101,502,354 and 1,192,788,123,820

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Solution

The third proportional to 545,101,502,354 and 1,192,788,123,820 is: 2,610,052,443,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,101,502,354 : 1,192,788,123,820 = 1,192,788,123,820 : x
  2. Step 2: Convert to fraction form
    545,101,502,354/1,192,788,123,820 = 1,192,788,123,820/x
  3. Step 3: Cross multiply
    545,101,502,354x = 1,192,788,123,820 × 1,192,788,123,820
  4. Step 4: Simplify right side
    545,101,502,354x = 1,422,743,508,326,035,633,471,488
  5. Step 5: Solve for x
    x = 1,422,743,508,326,035,633,471,488/545,101,502,354
  6. Step 6: Final answer
    x = 2,610,052,443,777.85

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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.