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Finding the Third Proportional to 3,116,706,706 and 6,856,748,567

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Solution

The third proportional to 3,116,706,706 and 6,856,748,567 is: 15,084,833,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,706,706 : 6,856,748,567 = 6,856,748,567 : x
  2. Step 2: Convert to fraction form
    3,116,706,706/6,856,748,567 = 6,856,748,567/x
  3. Step 3: Cross multiply
    3,116,706,706x = 6,856,748,567 × 6,856,748,567
  4. Step 4: Simplify right side
    3,116,706,706x = 47,015,000,911,056,551,936
  5. Step 5: Solve for x
    x = 47,015,000,911,056,551,936/3,116,706,706
  6. Step 6: Final answer
    x = 15,084,833,237.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.