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Finding the Third Proportional to 9,071,370 and 13,070,511

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Solution

The third proportional to 9,071,370 and 13,070,511 is: 18,832,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071,370 : 13,070,511 = 13,070,511 : x
  2. Step 2: Convert to fraction form
    9,071,370/13,070,511 = 13,070,511/x
  3. Step 3: Cross multiply
    9,071,370x = 13,070,511 × 13,070,511
  4. Step 4: Simplify right side
    9,071,370x = 170,838,257,801,121
  5. Step 5: Solve for x
    x = 170,838,257,801,121/9,071,370
  6. Step 6: Final answer
    x = 18,832,685.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.