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Finding the Third Proportional to 3,234,626,217 and 4,622,355,720

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Solution

The third proportional to 3,234,626,217 and 4,622,355,720 is: 6,605,453,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,626,217 : 4,622,355,720 = 4,622,355,720 : x
  2. Step 2: Convert to fraction form
    3,234,626,217/4,622,355,720 = 4,622,355,720/x
  3. Step 3: Cross multiply
    3,234,626,217x = 4,622,355,720 × 4,622,355,720
  4. Step 4: Simplify right side
    3,234,626,217x = 21,366,172,402,216,718,336
  5. Step 5: Solve for x
    x = 21,366,172,402,216,718,336/3,234,626,217
  6. Step 6: Final answer
    x = 6,605,453,294.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.