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Finding the Third Proportional to 1,970,280,616 and 4,283,509,076

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Solution

The third proportional to 1,970,280,616 and 4,283,509,076 is: 9,312,607,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,280,616 : 4,283,509,076 = 4,283,509,076 : x
  2. Step 2: Convert to fraction form
    1,970,280,616/4,283,509,076 = 4,283,509,076/x
  3. Step 3: Cross multiply
    1,970,280,616x = 4,283,509,076 × 4,283,509,076
  4. Step 4: Simplify right side
    1,970,280,616x = 18,348,450,004,174,372,864
  5. Step 5: Solve for x
    x = 18,348,450,004,174,372,864/1,970,280,616
  6. Step 6: Final answer
    x = 9,312,607,480.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.