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Finding the Third Proportional to 2,445,741.84 and 5,312,898.84

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Solution

The third proportional to 2,445,741.84 and 5,312,898.84 is: 11,541,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445,741.84 : 5,312,898.84 = 5,312,898.84 : x
  2. Step 2: Convert to fraction form
    2,445,741.84/5,312,898.84 = 5,312,898.84/x
  3. Step 3: Cross multiply
    2,445,741.84x = 5,312,898.84 × 5,312,898.84
  4. Step 4: Simplify right side
    2,445,741.84x = 28,226,894,123,920.09
  5. Step 5: Solve for x
    x = 28,226,894,123,920.09/2,445,741.84
  6. Step 6: Final answer
    x = 11,541,240.22

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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.