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Finding the Third Proportional to 470,175,453 and 1,097,936,640

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Solution

The third proportional to 470,175,453 and 1,097,936,640 is: 2,563,861,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,175,453 : 1,097,936,640 = 1,097,936,640 : x
  2. Step 2: Convert to fraction form
    470,175,453/1,097,936,640 = 1,097,936,640/x
  3. Step 3: Cross multiply
    470,175,453x = 1,097,936,640 × 1,097,936,640
  4. Step 4: Simplify right side
    470,175,453x = 1,205,464,865,454,489,600
  5. Step 5: Solve for x
    x = 1,205,464,865,454,489,600/470,175,453
  6. Step 6: Final answer
    x = 2,563,861,762.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.