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Finding the Third Proportional to 1,191,404,214,438 and 1,671,775,962,921

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Solution

The third proportional to 1,191,404,214,438 and 1,671,775,962,921 is: 2,345,832,620,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,404,214,438 : 1,671,775,962,921 = 1,671,775,962,921 : x
  2. Step 2: Convert to fraction form
    1,191,404,214,438/1,671,775,962,921 = 1,671,775,962,921/x
  3. Step 3: Cross multiply
    1,191,404,214,438x = 1,671,775,962,921 × 1,671,775,962,921
  4. Step 4: Simplify right side
    1,191,404,214,438x = 2,794,834,870,200,436,785,152,000
  5. Step 5: Solve for x
    x = 2,794,834,870,200,436,785,152,000/1,191,404,214,438
  6. Step 6: Final answer
    x = 2,345,832,620,307.45

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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.