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Finding the Third Proportional to 10,397,156.63 and 23,184,957.38

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Solution

The third proportional to 10,397,156.63 and 23,184,957.38 is: 51,700,889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397,156.63 : 23,184,957.38 = 23,184,957.38 : x
  2. Step 2: Convert to fraction form
    10,397,156.63/23,184,957.38 = 23,184,957.38/x
  3. Step 3: Cross multiply
    10,397,156.63x = 23,184,957.38 × 23,184,957.38
  4. Step 4: Simplify right side
    10,397,156.63x = 537,542,248,480,566.88
  5. Step 5: Solve for x
    x = 537,542,248,480,566.88/10,397,156.63
  6. Step 6: Final answer
    x = 51,700,889.76

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.