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Finding the Third Proportional to 10,181,835 and 21,956,913

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Solution

The third proportional to 10,181,835 and 21,956,913 is: 47,349,621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,835 : 21,956,913 = 21,956,913 : x
  2. Step 2: Convert to fraction form
    10,181,835/21,956,913 = 21,956,913/x
  3. Step 3: Cross multiply
    10,181,835x = 21,956,913 × 21,956,913
  4. Step 4: Simplify right side
    10,181,835x = 482,106,028,489,569
  5. Step 5: Solve for x
    x = 482,106,028,489,569/10,181,835
  6. Step 6: Final answer
    x = 47,349,621.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.