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Finding the Third Proportional to 14,372,463,730 and 31,275,740,276

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Solution

The third proportional to 14,372,463,730 and 31,275,740,276 is: 68,058,750,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372,463,730 : 31,275,740,276 = 31,275,740,276 : x
  2. Step 2: Convert to fraction form
    14,372,463,730/31,275,740,276 = 31,275,740,276/x
  3. Step 3: Cross multiply
    14,372,463,730x = 31,275,740,276 × 31,275,740,276
  4. Step 4: Simplify right side
    14,372,463,730x = 978,171,929,811,808,550,912
  5. Step 5: Solve for x
    x = 978,171,929,811,808,550,912/14,372,463,730
  6. Step 6: Final answer
    x = 68,058,750,969.05

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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.