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Finding the Third Proportional to 611,466,172,433 and 1,330,287,553,639

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Solution

The third proportional to 611,466,172,433 and 1,330,287,553,639 is: 2,894,133,895,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,466,172,433 : 1,330,287,553,639 = 1,330,287,553,639 : x
  2. Step 2: Convert to fraction form
    611,466,172,433/1,330,287,553,639 = 1,330,287,553,639/x
  3. Step 3: Cross multiply
    611,466,172,433x = 1,330,287,553,639 × 1,330,287,553,639
  4. Step 4: Simplify right side
    611,466,172,433x = 1,769,664,975,366,835,388,022,784
  5. Step 5: Solve for x
    x = 1,769,664,975,366,835,388,022,784/611,466,172,433
  6. Step 6: Final answer
    x = 2,894,133,895,135.05

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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.