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Finding the Third Proportional to 291,420,742 and 475,813,466

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Solution

The third proportional to 291,420,742 and 475,813,466 is: 776,878,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,420,742 : 475,813,466 = 475,813,466 : x
  2. Step 2: Convert to fraction form
    291,420,742/475,813,466 = 475,813,466/x
  3. Step 3: Cross multiply
    291,420,742x = 475,813,466 × 475,813,466
  4. Step 4: Simplify right side
    291,420,742x = 226,398,454,426,933,152
  5. Step 5: Solve for x
    x = 226,398,454,426,933,152/291,420,742
  6. Step 6: Final answer
    x = 776,878,313.03

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.