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Finding the Third Proportional to 5,142,424 and 10,710,483

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Solution

The third proportional to 5,142,424 and 10,710,483 is: 22,307,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142,424 : 10,710,483 = 10,710,483 : x
  2. Step 2: Convert to fraction form
    5,142,424/10,710,483 = 10,710,483/x
  3. Step 3: Cross multiply
    5,142,424x = 10,710,483 × 10,710,483
  4. Step 4: Simplify right side
    5,142,424x = 114,714,446,093,289
  5. Step 5: Solve for x
    x = 114,714,446,093,289/5,142,424
  6. Step 6: Final answer
    x = 22,307,465.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.