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Finding the Third Proportional to 7,430,908 and 10,464,288

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Solution

The third proportional to 7,430,908 and 10,464,288 is: 14,735,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430,908 : 10,464,288 = 10,464,288 : x
  2. Step 2: Convert to fraction form
    7,430,908/10,464,288 = 10,464,288/x
  3. Step 3: Cross multiply
    7,430,908x = 10,464,288 × 10,464,288
  4. Step 4: Simplify right side
    7,430,908x = 109,501,323,346,944
  5. Step 5: Solve for x
    x = 109,501,323,346,944/7,430,908
  6. Step 6: Final answer
    x = 14,735,927.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.