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Finding the Third Proportional to 1,615,169,313 and 3,505,995,963

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Solution

The third proportional to 1,615,169,313 and 3,505,995,963 is: 7,610,352,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,169,313 : 3,505,995,963 = 3,505,995,963 : x
  2. Step 2: Convert to fraction form
    1,615,169,313/3,505,995,963 = 3,505,995,963/x
  3. Step 3: Cross multiply
    1,615,169,313x = 3,505,995,963 × 3,505,995,963
  4. Step 4: Simplify right side
    1,615,169,313x = 12,292,007,692,572,297,216
  5. Step 5: Solve for x
    x = 12,292,007,692,572,297,216/1,615,169,313
  6. Step 6: Final answer
    x = 7,610,352,421.65

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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.