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Finding the Third Proportional to 3,464,447,160 and 7,112,555,187

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Solution

The third proportional to 3,464,447,160 and 7,112,555,187 is: 14,602,168,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464,447,160 : 7,112,555,187 = 7,112,555,187 : x
  2. Step 2: Convert to fraction form
    3,464,447,160/7,112,555,187 = 7,112,555,187/x
  3. Step 3: Cross multiply
    3,464,447,160x = 7,112,555,187 × 7,112,555,187
  4. Step 4: Simplify right side
    3,464,447,160x = 50,588,441,288,120,606,720
  5. Step 5: Solve for x
    x = 50,588,441,288,120,606,720/3,464,447,160
  6. Step 6: Final answer
    x = 14,602,168,528.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.