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Finding the Third Proportional to 4,907,316 and 10,724,424

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Solution

The third proportional to 4,907,316 and 10,724,424 is: 23,437,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907,316 : 10,724,424 = 10,724,424 : x
  2. Step 2: Convert to fraction form
    4,907,316/10,724,424 = 10,724,424/x
  3. Step 3: Cross multiply
    4,907,316x = 10,724,424 × 10,724,424
  4. Step 4: Simplify right side
    4,907,316x = 115,013,270,131,776
  5. Step 5: Solve for x
    x = 115,013,270,131,776/4,907,316
  6. Step 6: Final answer
    x = 23,437,102.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.