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Finding the Third Proportional to 21,909,752 and 47,283,664

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Solution

The third proportional to 21,909,752 and 47,283,664 is: 102,043,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909,752 : 47,283,664 = 47,283,664 : x
  2. Step 2: Convert to fraction form
    21,909,752/47,283,664 = 47,283,664/x
  3. Step 3: Cross multiply
    21,909,752x = 47,283,664 × 47,283,664
  4. Step 4: Simplify right side
    21,909,752x = 2,235,744,881,264,896
  5. Step 5: Solve for x
    x = 2,235,744,881,264,896/21,909,752
  6. Step 6: Final answer
    x = 102,043,367.78

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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.