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Finding the Third Proportional to 10,596,292 and 22,886,416

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Solution

The third proportional to 10,596,292 and 22,886,416 is: 49,431,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,292 : 22,886,416 = 22,886,416 : x
  2. Step 2: Convert to fraction form
    10,596,292/22,886,416 = 22,886,416/x
  3. Step 3: Cross multiply
    10,596,292x = 22,886,416 × 22,886,416
  4. Step 4: Simplify right side
    10,596,292x = 523,788,037,325,056
  5. Step 5: Solve for x
    x = 523,788,037,325,056/10,596,292
  6. Step 6: Final answer
    x = 49,431,257.40

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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.