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Finding the Third Proportional to 2,695,062,755,264 and 5,992,703,076,960

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Solution

The third proportional to 2,695,062,755,264 and 5,992,703,076,960 is: 13,325,289,030,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695,062,755,264 : 5,992,703,076,960 = 5,992,703,076,960 : x
  2. Step 2: Convert to fraction form
    2,695,062,755,264/5,992,703,076,960 = 5,992,703,076,960/x
  3. Step 3: Cross multiply
    2,695,062,755,264x = 5,992,703,076,960 × 5,992,703,076,960
  4. Step 4: Simplify right side
    2,695,062,755,264x = 35,912,490,168,605,849,619,005,440
  5. Step 5: Solve for x
    x = 35,912,490,168,605,849,619,005,440/2,695,062,755,264
  6. Step 6: Final answer
    x = 13,325,289,030,268.97

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