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Finding the Third Proportional to 1,461,510,936 and 2,111,630,916

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Solution

The third proportional to 1,461,510,936 and 2,111,630,916 is: 3,050,942,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,510,936 : 2,111,630,916 = 2,111,630,916 : x
  2. Step 2: Convert to fraction form
    1,461,510,936/2,111,630,916 = 2,111,630,916/x
  3. Step 3: Cross multiply
    1,461,510,936x = 2,111,630,916 × 2,111,630,916
  4. Step 4: Simplify right side
    1,461,510,936x = 4,458,985,125,406,999,040
  5. Step 5: Solve for x
    x = 4,458,985,125,406,999,040/1,461,510,936
  6. Step 6: Final answer
    x = 3,050,942,018.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.