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Finding the Third Proportional to 3,173,068.13 and 4,834,000.69

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Solution

The third proportional to 3,173,068.13 and 4,834,000.69 is: 7,364,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173,068.13 : 4,834,000.69 = 4,834,000.69 : x
  2. Step 2: Convert to fraction form
    3,173,068.13/4,834,000.69 = 4,834,000.69/x
  3. Step 3: Cross multiply
    3,173,068.13x = 4,834,000.69 × 4,834,000.69
  4. Step 4: Simplify right side
    3,173,068.13x = 23,367,562,646,750.47
  5. Step 5: Solve for x
    x = 23,367,562,646,750.47/3,173,068.13
  6. Step 6: Final answer
    x = 7,364,343.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.