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Finding the Third Proportional to 24,271,663.50 and 52,145,316

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Solution

The third proportional to 24,271,663.50 and 52,145,316 is: 112,029,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271,663.50 : 52,145,316 = 52,145,316 : x
  2. Step 2: Convert to fraction form
    24,271,663.50/52,145,316 = 52,145,316/x
  3. Step 3: Cross multiply
    24,271,663.50x = 52,145,316 × 52,145,316
  4. Step 4: Simplify right side
    24,271,663.50x = 2,719,133,980,739,856
  5. Step 5: Solve for x
    x = 2,719,133,980,739,856/24,271,663.50
  6. Step 6: Final answer
    x = 112,029,156.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.