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Finding the Third Proportional to 34,723,584 and 75,424,824

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Solution

The third proportional to 34,723,584 and 75,424,824 is: 163,834,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,723,584 : 75,424,824 = 75,424,824 : x
  2. Step 2: Convert to fraction form
    34,723,584/75,424,824 = 75,424,824/x
  3. Step 3: Cross multiply
    34,723,584x = 75,424,824 × 75,424,824
  4. Step 4: Simplify right side
    34,723,584x = 5,688,904,075,430,976
  5. Step 5: Solve for x
    x = 5,688,904,075,430,976/34,723,584
  6. Step 6: Final answer
    x = 163,834,011.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.