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Finding the Third Proportional to 4,088,946,936 and 8,752,293,742

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Solution

The third proportional to 4,088,946,936 and 8,752,293,742 is: 18,734,076,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088,946,936 : 8,752,293,742 = 8,752,293,742 : x
  2. Step 2: Convert to fraction form
    4,088,946,936/8,752,293,742 = 8,752,293,742/x
  3. Step 3: Cross multiply
    4,088,946,936x = 8,752,293,742 × 8,752,293,742
  4. Step 4: Simplify right side
    4,088,946,936x = 76,602,645,746,252,365,824
  5. Step 5: Solve for x
    x = 76,602,645,746,252,365,824/4,088,946,936
  6. Step 6: Final answer
    x = 18,734,076,755.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.