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Finding the Third Proportional to 354,875,669 and 772,240,542

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Solution

The third proportional to 354,875,669 and 772,240,542 is: 1,680,463,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,875,669 : 772,240,542 = 772,240,542 : x
  2. Step 2: Convert to fraction form
    354,875,669/772,240,542 = 772,240,542/x
  3. Step 3: Cross multiply
    354,875,669x = 772,240,542 × 772,240,542
  4. Step 4: Simplify right side
    354,875,669x = 596,355,454,708,453,760
  5. Step 5: Solve for x
    x = 596,355,454,708,453,760/354,875,669
  6. Step 6: Final answer
    x = 1,680,463,065.81

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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.