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Finding the Third Proportional to 2,416,209.75 and 5,210,740.13

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Solution

The third proportional to 2,416,209.75 and 5,210,740.13 is: 11,237,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416,209.75 : 5,210,740.13 = 5,210,740.13 : x
  2. Step 2: Convert to fraction form
    2,416,209.75/5,210,740.13 = 5,210,740.13/x
  3. Step 3: Cross multiply
    2,416,209.75x = 5,210,740.13 × 5,210,740.13
  4. Step 4: Simplify right side
    2,416,209.75x = 27,151,812,650,285.02
  5. Step 5: Solve for x
    x = 27,151,812,650,285.02/2,416,209.75
  6. Step 6: Final answer
    x = 11,237,357.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.