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Finding the Third Proportional to 5,210,202 and 7,869,748

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Solution

The third proportional to 5,210,202 and 7,869,748 is: 11,886,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210,202 : 7,869,748 = 7,869,748 : x
  2. Step 2: Convert to fraction form
    5,210,202/7,869,748 = 7,869,748/x
  3. Step 3: Cross multiply
    5,210,202x = 7,869,748 × 7,869,748
  4. Step 4: Simplify right side
    5,210,202x = 61,932,933,583,504
  5. Step 5: Solve for x
    x = 61,932,933,583,504/5,210,202
  6. Step 6: Final answer
    x = 11,886,858.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.