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Finding the Third Proportional to 2,000,031.75 and 4,312,804.50

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Solution

The third proportional to 2,000,031.75 and 4,312,804.50 is: 9,299,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,031.75 : 4,312,804.50 = 4,312,804.50 : x
  2. Step 2: Convert to fraction form
    2,000,031.75/4,312,804.50 = 4,312,804.50/x
  3. Step 3: Cross multiply
    2,000,031.75x = 4,312,804.50 × 4,312,804.50
  4. Step 4: Simplify right side
    2,000,031.75x = 18,600,282,655,220.25
  5. Step 5: Solve for x
    x = 18,600,282,655,220.25/2,000,031.75
  6. Step 6: Final answer
    x = 9,299,993.69

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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.