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Finding the Third Proportional to 801,141,840 and 1,688,364,000

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Solution

The third proportional to 801,141,840 and 1,688,364,000 is: 3,558,137,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,141,840 : 1,688,364,000 = 1,688,364,000 : x
  2. Step 2: Convert to fraction form
    801,141,840/1,688,364,000 = 1,688,364,000/x
  3. Step 3: Cross multiply
    801,141,840x = 1,688,364,000 × 1,688,364,000
  4. Step 4: Simplify right side
    801,141,840x = 2,850,572,996,496,000,000
  5. Step 5: Solve for x
    x = 2,850,572,996,496,000,000/801,141,840
  6. Step 6: Final answer
    x = 3,558,137,715.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.