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Finding the Third Proportional to 21,637,642 and 45,689,733

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Solution

The third proportional to 21,637,642 and 45,689,733 is: 96,477,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,637,642 : 45,689,733 = 45,689,733 : x
  2. Step 2: Convert to fraction form
    21,637,642/45,689,733 = 45,689,733/x
  3. Step 3: Cross multiply
    21,637,642x = 45,689,733 × 45,689,733
  4. Step 4: Simplify right side
    21,637,642x = 2,087,551,701,611,289
  5. Step 5: Solve for x
    x = 2,087,551,701,611,289/21,637,642
  6. Step 6: Final answer
    x = 96,477,781.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.