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Finding the Third Proportional to 2,864,235,364 and 6,169,194,968

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Solution

The third proportional to 2,864,235,364 and 6,169,194,968 is: 13,287,653,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,235,364 : 6,169,194,968 = 6,169,194,968 : x
  2. Step 2: Convert to fraction form
    2,864,235,364/6,169,194,968 = 6,169,194,968/x
  3. Step 3: Cross multiply
    2,864,235,364x = 6,169,194,968 × 6,169,194,968
  4. Step 4: Simplify right side
    2,864,235,364x = 38,058,966,553,196,519,424
  5. Step 5: Solve for x
    x = 38,058,966,553,196,519,424/2,864,235,364
  6. Step 6: Final answer
    x = 13,287,653,323.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.