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Finding the Third Proportional to 6,184,221 and 13,466,316

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Solution

The third proportional to 6,184,221 and 13,466,316 is: 29,323,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,221 : 13,466,316 = 13,466,316 : x
  2. Step 2: Convert to fraction form
    6,184,221/13,466,316 = 13,466,316/x
  3. Step 3: Cross multiply
    6,184,221x = 13,466,316 × 13,466,316
  4. Step 4: Simplify right side
    6,184,221x = 181,341,666,611,856
  5. Step 5: Solve for x
    x = 181,341,666,611,856/6,184,221
  6. Step 6: Final answer
    x = 29,323,283.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.