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Finding the Third Proportional to 29,561,470,590 and 61,218,354,684

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Solution

The third proportional to 29,561,470,590 and 61,218,354,684 is: 126,776,066,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,561,470,590 : 61,218,354,684 = 61,218,354,684 : x
  2. Step 2: Convert to fraction form
    29,561,470,590/61,218,354,684 = 61,218,354,684/x
  3. Step 3: Cross multiply
    29,561,470,590x = 61,218,354,684 × 61,218,354,684
  4. Step 4: Simplify right side
    29,561,470,590x = 3,747,686,950,216,024,981,504
  5. Step 5: Solve for x
    x = 3,747,686,950,216,024,981,504/29,561,470,590
  6. Step 6: Final answer
    x = 126,776,066,123.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.