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Finding the Third Proportional to 16,570,184,770 and 36,348,442,658

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Solution

The third proportional to 16,570,184,770 and 36,348,442,658 is: 79,734,131,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570,184,770 : 36,348,442,658 = 36,348,442,658 : x
  2. Step 2: Convert to fraction form
    16,570,184,770/36,348,442,658 = 36,348,442,658/x
  3. Step 3: Cross multiply
    16,570,184,770x = 36,348,442,658 × 36,348,442,658
  4. Step 4: Simplify right side
    16,570,184,770x = 1,321,209,283,661,914,177,536
  5. Step 5: Solve for x
    x = 1,321,209,283,661,914,177,536/16,570,184,770
  6. Step 6: Final answer
    x = 79,734,131,031.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.