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Finding the Third Proportional to 7,270,316 and 15,292,742

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Solution

The third proportional to 7,270,316 and 15,292,742 is: 32,167,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270,316 : 15,292,742 = 15,292,742 : x
  2. Step 2: Convert to fraction form
    7,270,316/15,292,742 = 15,292,742/x
  3. Step 3: Cross multiply
    7,270,316x = 15,292,742 × 15,292,742
  4. Step 4: Simplify right side
    7,270,316x = 233,867,957,878,564
  5. Step 5: Solve for x
    x = 233,867,957,878,564/7,270,316
  6. Step 6: Final answer
    x = 32,167,509.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.