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Finding the Third Proportional to 1,161,099,986 and 2,506,905,748

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Solution

The third proportional to 1,161,099,986 and 2,506,905,748 is: 5,412,605,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,099,986 : 2,506,905,748 = 2,506,905,748 : x
  2. Step 2: Convert to fraction form
    1,161,099,986/2,506,905,748 = 2,506,905,748/x
  3. Step 3: Cross multiply
    1,161,099,986x = 2,506,905,748 × 2,506,905,748
  4. Step 4: Simplify right side
    1,161,099,986x = 6,284,576,429,355,439,104
  5. Step 5: Solve for x
    x = 6,284,576,429,355,439,104/1,161,099,986
  6. Step 6: Final answer
    x = 5,412,605,723.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.