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Finding the Third Proportional to 555,328,046 and 812,550,009

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Solution

The third proportional to 555,328,046 and 812,550,009 is: 1,188,914,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,328,046 : 812,550,009 = 812,550,009 : x
  2. Step 2: Convert to fraction form
    555,328,046/812,550,009 = 812,550,009/x
  3. Step 3: Cross multiply
    555,328,046x = 812,550,009 × 812,550,009
  4. Step 4: Simplify right side
    555,328,046x = 660,237,517,125,900,032
  5. Step 5: Solve for x
    x = 660,237,517,125,900,032/555,328,046
  6. Step 6: Final answer
    x = 1,188,914,411.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.