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Finding the Third Proportional to 1,345,755,397,783.50 and 2,895,619,451,827.50

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Solution

The third proportional to 1,345,755,397,783.50 and 2,895,619,451,827.50 is: 6,230,413,062,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,755,397,783.50 : 2,895,619,451,827.50 = 2,895,619,451,827.50 : x
  2. Step 2: Convert to fraction form
    1,345,755,397,783.50/2,895,619,451,827.50 = 2,895,619,451,827.50/x
  3. Step 3: Cross multiply
    1,345,755,397,783.50x = 2,895,619,451,827.50 × 2,895,619,451,827.50
  4. Step 4: Simplify right side
    1,345,755,397,783.50x = 8,384,612,009,801,791,238,569,984
  5. Step 5: Solve for x
    x = 8,384,612,009,801,791,238,569,984/1,345,755,397,783.50
  6. Step 6: Final answer
    x = 6,230,413,062,887.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.