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Finding the Third Proportional to 1,457,470,136 and 3,147,175,615

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Solution

The third proportional to 1,457,470,136 and 3,147,175,615 is: 6,795,826,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,470,136 : 3,147,175,615 = 3,147,175,615 : x
  2. Step 2: Convert to fraction form
    1,457,470,136/3,147,175,615 = 3,147,175,615/x
  3. Step 3: Cross multiply
    1,457,470,136x = 3,147,175,615 × 3,147,175,615
  4. Step 4: Simplify right side
    1,457,470,136x = 9,904,714,351,650,627,584
  5. Step 5: Solve for x
    x = 9,904,714,351,650,627,584/1,457,470,136
  6. Step 6: Final answer
    x = 6,795,826,622.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.