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Finding the Third Proportional to 14,423,880,614 and 31,330,750,356

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Solution

The third proportional to 14,423,880,614 and 31,330,750,356 is: 68,054,911,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423,880,614 : 31,330,750,356 = 31,330,750,356 : x
  2. Step 2: Convert to fraction form
    14,423,880,614/31,330,750,356 = 31,330,750,356/x
  3. Step 3: Cross multiply
    14,423,880,614x = 31,330,750,356 × 31,330,750,356
  4. Step 4: Simplify right side
    14,423,880,614x = 981,615,917,869,994,082,304
  5. Step 5: Solve for x
    x = 981,615,917,869,994,082,304/14,423,880,614
  6. Step 6: Final answer
    x = 68,054,911,444.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.