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Finding the Third Proportional to 4,511,878.31 and 9,742,882.50

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Solution

The third proportional to 4,511,878.31 and 9,742,882.50 is: 21,038,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,878.31 : 9,742,882.50 = 9,742,882.50 : x
  2. Step 2: Convert to fraction form
    4,511,878.31/9,742,882.50 = 9,742,882.50/x
  3. Step 3: Cross multiply
    4,511,878.31x = 9,742,882.50 × 9,742,882.50
  4. Step 4: Simplify right side
    4,511,878.31x = 94,923,759,408,806.25
  5. Step 5: Solve for x
    x = 94,923,759,408,806.25/4,511,878.31
  6. Step 6: Final answer
    x = 21,038,634.65

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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.