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Finding the Third Proportional to 16,570,184,771 and 36,348,442,660

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Solution

The third proportional to 16,570,184,771 and 36,348,442,660 is: 79,734,131,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570,184,771 : 36,348,442,660 = 36,348,442,660 : x
  2. Step 2: Convert to fraction form
    16,570,184,771/36,348,442,660 = 36,348,442,660/x
  3. Step 3: Cross multiply
    16,570,184,771x = 36,348,442,660 × 36,348,442,660
  4. Step 4: Simplify right side
    16,570,184,771x = 1,321,209,283,807,307,890,688
  5. Step 5: Solve for x
    x = 1,321,209,283,807,307,890,688/16,570,184,771
  6. Step 6: Final answer
    x = 79,734,131,035.13

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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.