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Finding the Third Proportional to 185,744,905 and 400,574,659

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Solution

The third proportional to 185,744,905 and 400,574,659 is: 863,873,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,744,905 : 400,574,659 = 400,574,659 : x
  2. Step 2: Convert to fraction form
    185,744,905/400,574,659 = 400,574,659/x
  3. Step 3: Cross multiply
    185,744,905x = 400,574,659 × 400,574,659
  4. Step 4: Simplify right side
    185,744,905x = 160,460,057,432,966,272
  5. Step 5: Solve for x
    x = 160,460,057,432,966,272/185,744,905
  6. Step 6: Final answer
    x = 863,873,264.43

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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.