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Finding the Third Proportional to 14,226,069,486,002 and 19,194,308,024,892

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Solution

The third proportional to 14,226,069,486,002 and 19,194,308,024,892 is: 25,897,628,358,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226,069,486,002 : 19,194,308,024,892 = 19,194,308,024,892 : x
  2. Step 2: Convert to fraction form
    14,226,069,486,002/19,194,308,024,892 = 19,194,308,024,892/x
  3. Step 3: Cross multiply
    14,226,069,486,002x = 19,194,308,024,892 × 19,194,308,024,892
  4. Step 4: Simplify right side
    14,226,069,486,002x = 368,421,460,554,433,414,102,515,712
  5. Step 5: Solve for x
    x = 368,421,460,554,433,414,102,515,712/14,226,069,486,002
  6. Step 6: Final answer
    x = 25,897,628,358,764.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.