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Finding the Third Proportional to 21,742,787 and 46,597,984

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Solution

The third proportional to 21,742,787 and 46,597,984 is: 99,866,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742,787 : 46,597,984 = 46,597,984 : x
  2. Step 2: Convert to fraction form
    21,742,787/46,597,984 = 46,597,984/x
  3. Step 3: Cross multiply
    21,742,787x = 46,597,984 × 46,597,984
  4. Step 4: Simplify right side
    21,742,787x = 2,171,372,112,864,256
  5. Step 5: Solve for x
    x = 2,171,372,112,864,256/21,742,787
  6. Step 6: Final answer
    x = 99,866,319.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.