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Finding the Third Proportional to 3,116,706,705 and 6,856,748,565

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Solution

The third proportional to 3,116,706,705 and 6,856,748,565 is: 15,084,833,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,706,705 : 6,856,748,565 = 6,856,748,565 : x
  2. Step 2: Convert to fraction form
    3,116,706,705/6,856,748,565 = 6,856,748,565/x
  3. Step 3: Cross multiply
    3,116,706,705x = 6,856,748,565 × 6,856,748,565
  4. Step 4: Simplify right side
    3,116,706,705x = 47,015,000,883,629,555,712
  5. Step 5: Solve for x
    x = 47,015,000,883,629,555,712/3,116,706,705
  6. Step 6: Final answer
    x = 15,084,833,233.81

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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.