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Finding the Third Proportional to 21,742,778 and 46,597,968

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Solution

The third proportional to 21,742,778 and 46,597,968 is: 99,866,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742,778 : 46,597,968 = 46,597,968 : x
  2. Step 2: Convert to fraction form
    21,742,778/46,597,968 = 46,597,968/x
  3. Step 3: Cross multiply
    21,742,778x = 46,597,968 × 46,597,968
  4. Step 4: Simplify right side
    21,742,778x = 2,171,370,621,729,024
  5. Step 5: Solve for x
    x = 2,171,370,621,729,024/21,742,778
  6. Step 6: Final answer
    x = 99,866,292.23

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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.