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Finding the Third Proportional to 34,930,240,646 and 75,980,628,742

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Solution

The third proportional to 34,930,240,646 and 75,980,628,742 is: 165,273,866,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930,240,646 : 75,980,628,742 = 75,980,628,742 : x
  2. Step 2: Convert to fraction form
    34,930,240,646/75,980,628,742 = 75,980,628,742/x
  3. Step 3: Cross multiply
    34,930,240,646x = 75,980,628,742 × 75,980,628,742
  4. Step 4: Simplify right side
    34,930,240,646x = 5,773,055,944,029,636,657,152
  5. Step 5: Solve for x
    x = 5,773,055,944,029,636,657,152/34,930,240,646
  6. Step 6: Final answer
    x = 165,273,866,920.55

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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.