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Finding the Third Proportional to 181,950,084 and 429,522,426

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Solution

The third proportional to 181,950,084 and 429,522,426 is: 1,013,956,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,950,084 : 429,522,426 = 429,522,426 : x
  2. Step 2: Convert to fraction form
    181,950,084/429,522,426 = 429,522,426/x
  3. Step 3: Cross multiply
    181,950,084x = 429,522,426 × 429,522,426
  4. Step 4: Simplify right side
    181,950,084x = 184,489,514,436,925,472
  5. Step 5: Solve for x
    x = 184,489,514,436,925,472/181,950,084
  6. Step 6: Final answer
    x = 1,013,956,742.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.