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Finding the Third Proportional to 16,581,072 and 35,681,569

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Solution

The third proportional to 16,581,072 and 35,681,569 is: 76,784,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581,072 : 35,681,569 = 35,681,569 : x
  2. Step 2: Convert to fraction form
    16,581,072/35,681,569 = 35,681,569/x
  3. Step 3: Cross multiply
    16,581,072x = 35,681,569 × 35,681,569
  4. Step 4: Simplify right side
    16,581,072x = 1,273,174,366,301,761
  5. Step 5: Solve for x
    x = 1,273,174,366,301,761/16,581,072
  6. Step 6: Final answer
    x = 76,784,804.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.