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Finding the Third Proportional to 693,174,576.56 and 1,541,333,095.13

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Solution

The third proportional to 693,174,576.56 and 1,541,333,095.13 is: 3,427,286,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,174,576.56 : 1,541,333,095.13 = 1,541,333,095.13 : x
  2. Step 2: Convert to fraction form
    693,174,576.56/1,541,333,095.13 = 1,541,333,095.13/x
  3. Step 3: Cross multiply
    693,174,576.56x = 1,541,333,095.13 × 1,541,333,095.13
  4. Step 4: Simplify right side
    693,174,576.56x = 2,375,707,710,127,612,416
  5. Step 5: Solve for x
    x = 2,375,707,710,127,612,416/693,174,576.56
  6. Step 6: Final answer
    x = 3,427,286,271.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.