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Finding the Third Proportional to 233,728,169,332 and 510,488,704,160

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Solution

The third proportional to 233,728,169,332 and 510,488,704,160 is: 1,114,964,951,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,728,169,332 : 510,488,704,160 = 510,488,704,160 : x
  2. Step 2: Convert to fraction form
    233,728,169,332/510,488,704,160 = 510,488,704,160/x
  3. Step 3: Cross multiply
    233,728,169,332x = 510,488,704,160 × 510,488,704,160
  4. Step 4: Simplify right side
    233,728,169,332x = 260,598,717,074,956,003,311,616
  5. Step 5: Solve for x
    x = 260,598,717,074,956,003,311,616/233,728,169,332
  6. Step 6: Final answer
    x = 1,114,964,951,891.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.