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Finding the Third Proportional to 46,059,999,954 and 70,766,099,289

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Solution

The third proportional to 46,059,999,954 and 70,766,099,289 is: 108,724,290,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,059,999,954 : 70,766,099,289 = 70,766,099,289 : x
  2. Step 2: Convert to fraction form
    46,059,999,954/70,766,099,289 = 70,766,099,289/x
  3. Step 3: Cross multiply
    46,059,999,954x = 70,766,099,289 × 70,766,099,289
  4. Step 4: Simplify right side
    46,059,999,954x = 5,007,840,808,580,606,328,832
  5. Step 5: Solve for x
    x = 5,007,840,808,580,606,328,832/46,059,999,954
  6. Step 6: Final answer
    x = 108,724,290,351.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.