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Finding the Third Proportional to 216,186,840,044 and 464,909,055,928

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Solution

The third proportional to 216,186,840,044 and 464,909,055,928 is: 999,785,325,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,186,840,044 : 464,909,055,928 = 464,909,055,928 : x
  2. Step 2: Convert to fraction form
    216,186,840,044/464,909,055,928 = 464,909,055,928/x
  3. Step 3: Cross multiply
    216,186,840,044x = 464,909,055,928 × 464,909,055,928
  4. Step 4: Simplify right side
    216,186,840,044x = 216,140,430,283,864,235,048,960
  5. Step 5: Solve for x
    x = 216,140,430,283,864,235,048,960/216,186,840,044
  6. Step 6: Final answer
    x = 999,785,325,692.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.