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Finding the Third Proportional to 21,909,762 and 47,283,684

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Solution

The third proportional to 21,909,762 and 47,283,684 is: 102,043,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909,762 : 47,283,684 = 47,283,684 : x
  2. Step 2: Convert to fraction form
    21,909,762/47,283,684 = 47,283,684/x
  3. Step 3: Cross multiply
    21,909,762x = 47,283,684 × 47,283,684
  4. Step 4: Simplify right side
    21,909,762x = 2,235,746,772,611,856
  5. Step 5: Solve for x
    x = 2,235,746,772,611,856/21,909,762
  6. Step 6: Final answer
    x = 102,043,407.53

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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.