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Finding the Third Proportional to 34,701,718,426.88 and 75,564,014,563.69

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Solution

The third proportional to 34,701,718,426.88 and 75,564,014,563.69 is: 164,542,868,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701,718,426.88 : 75,564,014,563.69 = 75,564,014,563.69 : x
  2. Step 2: Convert to fraction form
    34,701,718,426.88/75,564,014,563.69 = 75,564,014,563.69/x
  3. Step 3: Cross multiply
    34,701,718,426.88x = 75,564,014,563.69 × 75,564,014,563.69
  4. Step 4: Simplify right side
    34,701,718,426.88x = 5,709,920,296,981,554,528,256
  5. Step 5: Solve for x
    x = 5,709,920,296,981,554,528,256/34,701,718,426.88
  6. Step 6: Final answer
    x = 164,542,868,648.24

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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.