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Finding the Third Proportional to 4,511,757.09 and 9,742,610.25

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Solution

The third proportional to 4,511,757.09 and 9,742,610.25 is: 21,038,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,757.09 : 9,742,610.25 = 9,742,610.25 : x
  2. Step 2: Convert to fraction form
    4,511,757.09/9,742,610.25 = 9,742,610.25/x
  3. Step 3: Cross multiply
    4,511,757.09x = 9,742,610.25 × 9,742,610.25
  4. Step 4: Simplify right side
    4,511,757.09x = 94,918,454,483,405.06
  5. Step 5: Solve for x
    x = 94,918,454,483,405.06/4,511,757.09
  6. Step 6: Final answer
    x = 21,038,024.10

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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.