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Finding the Third Proportional to 3,031,594 and 6,483,253

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Solution

The third proportional to 3,031,594 and 6,483,253 is: 13,864,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,594 : 6,483,253 = 6,483,253 : x
  2. Step 2: Convert to fraction form
    3,031,594/6,483,253 = 6,483,253/x
  3. Step 3: Cross multiply
    3,031,594x = 6,483,253 × 6,483,253
  4. Step 4: Simplify right side
    3,031,594x = 42,032,569,462,009
  5. Step 5: Solve for x
    x = 42,032,569,462,009/3,031,594
  6. Step 6: Final answer
    x = 13,864,841.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.