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Finding the Third Proportional to 2,240,366,829 and 3,236,664,495

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Solution

The third proportional to 2,240,366,829 and 3,236,664,495 is: 4,676,018,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240,366,829 : 3,236,664,495 = 3,236,664,495 : x
  2. Step 2: Convert to fraction form
    2,240,366,829/3,236,664,495 = 3,236,664,495/x
  3. Step 3: Cross multiply
    2,240,366,829x = 3,236,664,495 × 3,236,664,495
  4. Step 4: Simplify right side
    2,240,366,829x = 10,475,997,053,193,605,120
  5. Step 5: Solve for x
    x = 10,475,997,053,193,605,120/2,240,366,829
  6. Step 6: Final answer
    x = 4,676,018,640.16

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.