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Finding the Third Proportional to 472,949,954 and 1,105,024,547

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Solution

The third proportional to 472,949,954 and 1,105,024,547 is: 2,581,836,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,949,954 : 1,105,024,547 = 1,105,024,547 : x
  2. Step 2: Convert to fraction form
    472,949,954/1,105,024,547 = 1,105,024,547/x
  3. Step 3: Cross multiply
    472,949,954x = 1,105,024,547 × 1,105,024,547
  4. Step 4: Simplify right side
    472,949,954x = 1,221,079,249,472,555,264
  5. Step 5: Solve for x
    x = 1,221,079,249,472,555,264/472,949,954
  6. Step 6: Final answer
    x = 2,581,836,067.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.