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Finding the Third Proportional to 452,448,319.22 and 974,227,462.03

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Solution

The third proportional to 452,448,319.22 and 974,227,462.03 is: 2,097,740,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,448,319.22 : 974,227,462.03 = 974,227,462.03 : x
  2. Step 2: Convert to fraction form
    452,448,319.22/974,227,462.03 = 974,227,462.03/x
  3. Step 3: Cross multiply
    452,448,319.22x = 974,227,462.03 × 974,227,462.03
  4. Step 4: Simplify right side
    452,448,319.22x = 949,119,147,775,850,624
  5. Step 5: Solve for x
    x = 949,119,147,775,850,624/452,448,319.22
  6. Step 6: Final answer
    x = 2,097,740,465.51

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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.