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Finding the Third Proportional to 3,618,622,304 and 7,878,012,226

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Solution

The third proportional to 3,618,622,304 and 7,878,012,226 is: 17,151,023,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618,622,304 : 7,878,012,226 = 7,878,012,226 : x
  2. Step 2: Convert to fraction form
    3,618,622,304/7,878,012,226 = 7,878,012,226/x
  3. Step 3: Cross multiply
    3,618,622,304x = 7,878,012,226 × 7,878,012,226
  4. Step 4: Simplify right side
    3,618,622,304x = 62,063,076,633,005,473,792
  5. Step 5: Solve for x
    x = 62,063,076,633,005,473,792/3,618,622,304
  6. Step 6: Final answer
    x = 17,151,023,626.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.