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Finding the Third Proportional to 7,602,633 and 16,543,709

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Solution

The third proportional to 7,602,633 and 16,543,709 is: 35,999,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602,633 : 16,543,709 = 16,543,709 : x
  2. Step 2: Convert to fraction form
    7,602,633/16,543,709 = 16,543,709/x
  3. Step 3: Cross multiply
    7,602,633x = 16,543,709 × 16,543,709
  4. Step 4: Simplify right side
    7,602,633x = 273,694,307,476,681
  5. Step 5: Solve for x
    x = 273,694,307,476,681/7,602,633
  6. Step 6: Final answer
    x = 35,999,936.80

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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.