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Finding the Third Proportional to 10,130,682 and 22,153,086

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Solution

The third proportional to 10,130,682 and 22,153,086 is: 48,442,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130,682 : 22,153,086 = 22,153,086 : x
  2. Step 2: Convert to fraction form
    10,130,682/22,153,086 = 22,153,086/x
  3. Step 3: Cross multiply
    10,130,682x = 22,153,086 × 22,153,086
  4. Step 4: Simplify right side
    10,130,682x = 490,759,219,323,396
  5. Step 5: Solve for x
    x = 490,759,219,323,396/10,130,682
  6. Step 6: Final answer
    x = 48,442,860.94

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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.