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Finding the Third Proportional to 2,314,027,297 and 3,525,181,497

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Solution

The third proportional to 2,314,027,297 and 3,525,181,497 is: 5,370,249,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,027,297 : 3,525,181,497 = 3,525,181,497 : x
  2. Step 2: Convert to fraction form
    2,314,027,297/3,525,181,497 = 3,525,181,497/x
  3. Step 3: Cross multiply
    2,314,027,297x = 3,525,181,497 × 3,525,181,497
  4. Step 4: Simplify right side
    2,314,027,297x = 12,426,904,586,791,161,856
  5. Step 5: Solve for x
    x = 12,426,904,586,791,161,856/2,314,027,297
  6. Step 6: Final answer
    x = 5,370,249,781.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.