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Finding the Third Proportional to 9,427,140 and 20,249,403.75

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Solution

The third proportional to 9,427,140 and 20,249,403.75 is: 43,495,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427,140 : 20,249,403.75 = 20,249,403.75 : x
  2. Step 2: Convert to fraction form
    9,427,140/20,249,403.75 = 20,249,403.75/x
  3. Step 3: Cross multiply
    9,427,140x = 20,249,403.75 × 20,249,403.75
  4. Step 4: Simplify right side
    9,427,140x = 410,038,352,230,514.06
  5. Step 5: Solve for x
    x = 410,038,352,230,514.06/9,427,140
  6. Step 6: Final answer
    x = 43,495,519.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.