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Finding the Third Proportional to 242,059,856 and 524,448,928

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Solution

The third proportional to 242,059,856 and 524,448,928 is: 1,136,275,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,059,856 : 524,448,928 = 524,448,928 : x
  2. Step 2: Convert to fraction form
    242,059,856/524,448,928 = 524,448,928/x
  3. Step 3: Cross multiply
    242,059,856x = 524,448,928 × 524,448,928
  4. Step 4: Simplify right side
    242,059,856x = 275,046,678,080,349,184
  5. Step 5: Solve for x
    x = 275,046,678,080,349,184/242,059,856
  6. Step 6: Final answer
    x = 1,136,275,475.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.