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Finding the Third Proportional to 3,077,896,906 and 6,241,439,911

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Solution

The third proportional to 3,077,896,906 and 6,241,439,911 is: 12,656,555,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,896,906 : 6,241,439,911 = 6,241,439,911 : x
  2. Step 2: Convert to fraction form
    3,077,896,906/6,241,439,911 = 6,241,439,911/x
  3. Step 3: Cross multiply
    3,077,896,906x = 6,241,439,911 × 6,241,439,911
  4. Step 4: Simplify right side
    3,077,896,906x = 38,955,572,162,623,684,608
  5. Step 5: Solve for x
    x = 38,955,572,162,623,684,608/3,077,896,906
  6. Step 6: Final answer
    x = 12,656,555,223.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.