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Finding the Third Proportional to 10,516,886 and 15,733,294

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Solution

The third proportional to 10,516,886 and 15,733,294 is: 23,537,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516,886 : 15,733,294 = 15,733,294 : x
  2. Step 2: Convert to fraction form
    10,516,886/15,733,294 = 15,733,294/x
  3. Step 3: Cross multiply
    10,516,886x = 15,733,294 × 15,733,294
  4. Step 4: Simplify right side
    10,516,886x = 247,536,540,090,436
  5. Step 5: Solve for x
    x = 247,536,540,090,436/10,516,886
  6. Step 6: Final answer
    x = 23,537,056.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.