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Finding the Third Proportional to 713,448,430 and 1,567,197,280

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Solution

The third proportional to 713,448,430 and 1,567,197,280 is: 3,442,585,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,448,430 : 1,567,197,280 = 1,567,197,280 : x
  2. Step 2: Convert to fraction form
    713,448,430/1,567,197,280 = 1,567,197,280/x
  3. Step 3: Cross multiply
    713,448,430x = 1,567,197,280 × 1,567,197,280
  4. Step 4: Simplify right side
    713,448,430x = 2,456,107,314,439,398,400
  5. Step 5: Solve for x
    x = 2,456,107,314,439,398,400/713,448,430
  6. Step 6: Final answer
    x = 3,442,585,632.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.