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Finding the Third Proportional to 46,059,999,976 and 70,766,099,320

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Solution

The third proportional to 46,059,999,976 and 70,766,099,320 is: 108,724,290,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,059,999,976 : 70,766,099,320 = 70,766,099,320 : x
  2. Step 2: Convert to fraction form
    46,059,999,976/70,766,099,320 = 70,766,099,320/x
  3. Step 3: Cross multiply
    46,059,999,976x = 70,766,099,320 × 70,766,099,320
  4. Step 4: Simplify right side
    46,059,999,976x = 5,007,840,812,968,104,165,376
  5. Step 5: Solve for x
    x = 5,007,840,812,968,104,165,376/46,059,999,976
  6. Step 6: Final answer
    x = 108,724,290,394.65

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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.