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Finding the Third Proportional to 1,776,327,051,664.50 and 3,893,187,638,071.50

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Solution

The third proportional to 1,776,327,051,664.50 and 3,893,187,638,071.50 is: 8,532,724,855,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,327,051,664.50 : 3,893,187,638,071.50 = 3,893,187,638,071.50 : x
  2. Step 2: Convert to fraction form
    1,776,327,051,664.50/3,893,187,638,071.50 = 3,893,187,638,071.50/x
  3. Step 3: Cross multiply
    1,776,327,051,664.50x = 3,893,187,638,071.50 × 3,893,187,638,071.50
  4. Step 4: Simplify right side
    1,776,327,051,664.50x = 15,156,909,985,232,744,439,873,536
  5. Step 5: Solve for x
    x = 15,156,909,985,232,744,439,873,536/1,776,327,051,664.50
  6. Step 6: Final answer
    x = 8,532,724,855,498.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.