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Finding the Third Proportional to 1,584,613,248 and 3,475,337,088

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Solution

The third proportional to 1,584,613,248 and 3,475,337,088 is: 7,622,028,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,613,248 : 3,475,337,088 = 3,475,337,088 : x
  2. Step 2: Convert to fraction form
    1,584,613,248/3,475,337,088 = 3,475,337,088/x
  3. Step 3: Cross multiply
    1,584,613,248x = 3,475,337,088 × 3,475,337,088
  4. Step 4: Simplify right side
    1,584,613,248x = 12,077,967,875,228,319,744
  5. Step 5: Solve for x
    x = 12,077,967,875,228,319,744/1,584,613,248
  6. Step 6: Final answer
    x = 7,622,028,839.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.