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Finding the Third Proportional to 3,358,678,113 and 7,288,263,828

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Solution

The third proportional to 3,358,678,113 and 7,288,263,828 is: 15,815,385,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358,678,113 : 7,288,263,828 = 7,288,263,828 : x
  2. Step 2: Convert to fraction form
    3,358,678,113/7,288,263,828 = 7,288,263,828/x
  3. Step 3: Cross multiply
    3,358,678,113x = 7,288,263,828 × 7,288,263,828
  4. Step 4: Simplify right side
    3,358,678,113x = 53,118,789,626,533,216,256
  5. Step 5: Solve for x
    x = 53,118,789,626,533,216,256/3,358,678,113
  6. Step 6: Final answer
    x = 15,815,385,648.58

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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.