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Finding the Third Proportional to 611,466,172,441 and 1,330,287,553,655

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Solution

The third proportional to 611,466,172,441 and 1,330,287,553,655 is: 2,894,133,895,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,466,172,441 : 1,330,287,553,655 = 1,330,287,553,655 : x
  2. Step 2: Convert to fraction form
    611,466,172,441/1,330,287,553,655 = 1,330,287,553,655/x
  3. Step 3: Cross multiply
    611,466,172,441x = 1,330,287,553,655 × 1,330,287,553,655
  4. Step 4: Simplify right side
    611,466,172,441x = 1,769,664,975,409,404,419,506,176
  5. Step 5: Solve for x
    x = 1,769,664,975,409,404,419,506,176/611,466,172,441
  6. Step 6: Final answer
    x = 2,894,133,895,166.80

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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.