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Finding the Third Proportional to 233,717,910 and 499,855,884

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Solution

The third proportional to 233,717,910 and 499,855,884 is: 1,069,049,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,717,910 : 499,855,884 = 499,855,884 : x
  2. Step 2: Convert to fraction form
    233,717,910/499,855,884 = 499,855,884/x
  3. Step 3: Cross multiply
    233,717,910x = 499,855,884 × 499,855,884
  4. Step 4: Simplify right side
    233,717,910x = 249,855,904,769,421,440
  5. Step 5: Solve for x
    x = 249,855,904,769,421,440/233,717,910
  6. Step 6: Final answer
    x = 1,069,049,029.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.