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Finding the Third Proportional to 3,628,507,699,601 and 7,774,572,472,898

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Solution

The third proportional to 3,628,507,699,601 and 7,774,572,472,898 is: 16,658,081,542,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628,507,699,601 : 7,774,572,472,898 = 7,774,572,472,898 : x
  2. Step 2: Convert to fraction form
    3,628,507,699,601/7,774,572,472,898 = 7,774,572,472,898/x
  3. Step 3: Cross multiply
    3,628,507,699,601x = 7,774,572,472,898 × 7,774,572,472,898
  4. Step 4: Simplify right side
    3,628,507,699,601x = 60,443,977,136,343,325,308,092,416
  5. Step 5: Solve for x
    x = 60,443,977,136,343,325,308,092,416/3,628,507,699,601
  6. Step 6: Final answer
    x = 16,658,081,542,169.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.