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Finding the Third Proportional to 7,370,264 and 15,947,748

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Solution

The third proportional to 7,370,264 and 15,947,748 is: 34,507,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,370,264 : 15,947,748 = 15,947,748 : x
  2. Step 2: Convert to fraction form
    7,370,264/15,947,748 = 15,947,748/x
  3. Step 3: Cross multiply
    7,370,264x = 15,947,748 × 15,947,748
  4. Step 4: Simplify right side
    7,370,264x = 254,330,666,271,504
  5. Step 5: Solve for x
    x = 254,330,666,271,504/7,370,264
  6. Step 6: Final answer
    x = 34,507,673.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.