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Finding the Third Proportional to 21,909,764 and 47,283,688

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Solution

The third proportional to 21,909,764 and 47,283,688 is: 102,043,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909,764 : 47,283,688 = 47,283,688 : x
  2. Step 2: Convert to fraction form
    21,909,764/47,283,688 = 47,283,688/x
  3. Step 3: Cross multiply
    21,909,764x = 47,283,688 × 47,283,688
  4. Step 4: Simplify right side
    21,909,764x = 2,235,747,150,881,344
  5. Step 5: Solve for x
    x = 2,235,747,150,881,344/21,909,764
  6. Step 6: Final answer
    x = 102,043,415.48

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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.