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Finding the Third Proportional to 1,191,404,214,432 and 1,671,775,962,912

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Solution

The third proportional to 1,191,404,214,432 and 1,671,775,962,912 is: 2,345,832,620,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,404,214,432 : 1,671,775,962,912 = 1,671,775,962,912 : x
  2. Step 2: Convert to fraction form
    1,191,404,214,432/1,671,775,962,912 = 1,671,775,962,912/x
  3. Step 3: Cross multiply
    1,191,404,214,432x = 1,671,775,962,912 × 1,671,775,962,912
  4. Step 4: Simplify right side
    1,191,404,214,432x = 2,794,834,870,170,344,633,663,488
  5. Step 5: Solve for x
    x = 2,794,834,870,170,344,633,663,488/1,191,404,214,432
  6. Step 6: Final answer
    x = 2,345,832,620,294.01

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.