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Finding the Third Proportional to 7,341,051 and 16,009,206

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Solution

The third proportional to 7,341,051 and 16,009,206 is: 34,912,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341,051 : 16,009,206 = 16,009,206 : x
  2. Step 2: Convert to fraction form
    7,341,051/16,009,206 = 16,009,206/x
  3. Step 3: Cross multiply
    7,341,051x = 16,009,206 × 16,009,206
  4. Step 4: Simplify right side
    7,341,051x = 256,294,676,750,436
  5. Step 5: Solve for x
    x = 256,294,676,750,436/7,341,051
  6. Step 6: Final answer
    x = 34,912,531.84

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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.