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Finding the Third Proportional to 7,281,506 and 15,697,861

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Solution

The third proportional to 7,281,506 and 15,697,861 is: 33,842,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281,506 : 15,697,861 = 15,697,861 : x
  2. Step 2: Convert to fraction form
    7,281,506/15,697,861 = 15,697,861/x
  3. Step 3: Cross multiply
    7,281,506x = 15,697,861 × 15,697,861
  4. Step 4: Simplify right side
    7,281,506x = 246,422,839,975,321
  5. Step 5: Solve for x
    x = 246,422,839,975,321/7,281,506
  6. Step 6: Final answer
    x = 33,842,290.31

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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.