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Finding the Third Proportional to 9,748,082.64 and 15,181,095.21

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Solution

The third proportional to 9,748,082.64 and 15,181,095.21 is: 23,642,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,082.64 : 15,181,095.21 = 15,181,095.21 : x
  2. Step 2: Convert to fraction form
    9,748,082.64/15,181,095.21 = 15,181,095.21/x
  3. Step 3: Cross multiply
    9,748,082.64x = 15,181,095.21 × 15,181,095.21
  4. Step 4: Simplify right side
    9,748,082.64x = 230,465,651,647,867.34
  5. Step 5: Solve for x
    x = 230,465,651,647,867.34/9,748,082.64
  6. Step 6: Final answer
    x = 23,642,152.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.