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Finding the Third Proportional to 445,263,768 and 969,574,464

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Solution

The third proportional to 445,263,768 and 969,574,464 is: 2,111,275,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,263,768 : 969,574,464 = 969,574,464 : x
  2. Step 2: Convert to fraction form
    445,263,768/969,574,464 = 969,574,464/x
  3. Step 3: Cross multiply
    445,263,768x = 969,574,464 × 969,574,464
  4. Step 4: Simplify right side
    445,263,768x = 940,074,641,240,887,296
  5. Step 5: Solve for x
    x = 940,074,641,240,887,296/445,263,768
  6. Step 6: Final answer
    x = 2,111,275,852.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.