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Finding the Third Proportional to 456,274,768 and 985,276,448

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Solution

The third proportional to 456,274,768 and 985,276,448 is: 2,127,598,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,274,768 : 985,276,448 = 985,276,448 : x
  2. Step 2: Convert to fraction form
    456,274,768/985,276,448 = 985,276,448/x
  3. Step 3: Cross multiply
    456,274,768x = 985,276,448 × 985,276,448
  4. Step 4: Simplify right side
    456,274,768x = 970,769,678,983,496,704
  5. Step 5: Solve for x
    x = 970,769,678,983,496,704/456,274,768
  6. Step 6: Final answer
    x = 2,127,598,866.01

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Why These Related Problems?

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