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Finding the Third Proportional to 3,288,399,610 and 4,751,169,567

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Solution

The third proportional to 3,288,399,610 and 4,751,169,567 is: 6,864,619,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,399,610 : 4,751,169,567 = 4,751,169,567 : x
  2. Step 2: Convert to fraction form
    3,288,399,610/4,751,169,567 = 4,751,169,567/x
  3. Step 3: Cross multiply
    3,288,399,610x = 4,751,169,567 × 4,751,169,567
  4. Step 4: Simplify right side
    3,288,399,610x = 22,573,612,254,386,966,528
  5. Step 5: Solve for x
    x = 22,573,612,254,386,966,528/3,288,399,610
  6. Step 6: Final answer
    x = 6,864,619,551.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.