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Finding the Third Proportional to 1,618,863,531,088 and 3,599,681,842,552

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Solution

The third proportional to 1,618,863,531,088 and 3,599,681,842,552 is: 8,004,201,168,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,863,531,088 : 3,599,681,842,552 = 3,599,681,842,552 : x
  2. Step 2: Convert to fraction form
    1,618,863,531,088/3,599,681,842,552 = 3,599,681,842,552/x
  3. Step 3: Cross multiply
    1,618,863,531,088x = 3,599,681,842,552 × 3,599,681,842,552
  4. Step 4: Simplify right side
    1,618,863,531,088x = 12,957,709,367,598,561,261,256,704
  5. Step 5: Solve for x
    x = 12,957,709,367,598,561,261,256,704/1,618,863,531,088
  6. Step 6: Final answer
    x = 8,004,201,168,760.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.