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Finding the Third Proportional to 34,930,240,648 and 75,980,628,746

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Solution

The third proportional to 34,930,240,648 and 75,980,628,746 is: 165,273,866,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930,240,648 : 75,980,628,746 = 75,980,628,746 : x
  2. Step 2: Convert to fraction form
    34,930,240,648/75,980,628,746 = 75,980,628,746/x
  3. Step 3: Cross multiply
    34,930,240,648x = 75,980,628,746 × 75,980,628,746
  4. Step 4: Simplify right side
    34,930,240,648x = 5,773,055,944,637,481,484,288
  5. Step 5: Solve for x
    x = 5,773,055,944,637,481,484,288/34,930,240,648
  6. Step 6: Final answer
    x = 165,273,866,928.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.