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Finding the Third Proportional to 185,744,907 and 400,574,663

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Solution

The third proportional to 185,744,907 and 400,574,663 is: 863,873,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,744,907 : 400,574,663 = 400,574,663 : x
  2. Step 2: Convert to fraction form
    185,744,907/400,574,663 = 400,574,663/x
  3. Step 3: Cross multiply
    185,744,907x = 400,574,663 × 400,574,663
  4. Step 4: Simplify right side
    185,744,907x = 160,460,060,637,563,584
  5. Step 5: Solve for x
    x = 160,460,060,637,563,584/185,744,907
  6. Step 6: Final answer
    x = 863,873,272.38

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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.