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Finding the Third Proportional to 3,455,659,401,967 and 7,519,654,064,010

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Solution

The third proportional to 3,455,659,401,967 and 7,519,654,064,010 is: 16,363,070,159,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455,659,401,967 : 7,519,654,064,010 = 7,519,654,064,010 : x
  2. Step 2: Convert to fraction form
    3,455,659,401,967/7,519,654,064,010 = 7,519,654,064,010/x
  3. Step 3: Cross multiply
    3,455,659,401,967x = 7,519,654,064,010 × 7,519,654,064,010
  4. Step 4: Simplify right side
    3,455,659,401,967x = 56,545,197,242,382,107,164,016,640
  5. Step 5: Solve for x
    x = 56,545,197,242,382,107,164,016,640/3,455,659,401,967
  6. Step 6: Final answer
    x = 16,363,070,159,691.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.