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Finding the Third Proportional to 4,113,078.75 and 8,912,602.13

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Solution

The third proportional to 4,113,078.75 and 8,912,602.13 is: 19,312,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113,078.75 : 8,912,602.13 = 8,912,602.13 : x
  2. Step 2: Convert to fraction form
    4,113,078.75/8,912,602.13 = 8,912,602.13/x
  3. Step 3: Cross multiply
    4,113,078.75x = 8,912,602.13 × 8,912,602.13
  4. Step 4: Simplify right side
    4,113,078.75x = 79,434,476,638,554.52
  5. Step 5: Solve for x
    x = 79,434,476,638,554.52/4,113,078.75
  6. Step 6: Final answer
    x = 19,312,656.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.