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Finding the Third Proportional to 21,549,796 and 47,882,570

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Solution

The third proportional to 21,549,796 and 47,882,570 is: 106,392,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549,796 : 47,882,570 = 47,882,570 : x
  2. Step 2: Convert to fraction form
    21,549,796/47,882,570 = 47,882,570/x
  3. Step 3: Cross multiply
    21,549,796x = 47,882,570 × 47,882,570
  4. Step 4: Simplify right side
    21,549,796x = 2,292,740,509,804,900
  5. Step 5: Solve for x
    x = 2,292,740,509,804,900/21,549,796
  6. Step 6: Final answer
    x = 106,392,678.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.