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Finding the Third Proportional to 1,654,468,236 and 3,584,662,416

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Solution

The third proportional to 1,654,468,236 and 3,584,662,416 is: 7,766,727,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,468,236 : 3,584,662,416 = 3,584,662,416 : x
  2. Step 2: Convert to fraction form
    1,654,468,236/3,584,662,416 = 3,584,662,416/x
  3. Step 3: Cross multiply
    1,654,468,236x = 3,584,662,416 × 3,584,662,416
  4. Step 4: Simplify right side
    1,654,468,236x = 12,849,804,636,682,956,800
  5. Step 5: Solve for x
    x = 12,849,804,636,682,956,800/1,654,468,236
  6. Step 6: Final answer
    x = 7,766,727,917.21

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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.