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Finding the Third Proportional to 2,778,036,050,076 and 6,017,695,720,308

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Solution

The third proportional to 2,778,036,050,076 and 6,017,695,720,308 is: 13,035,346,240,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778,036,050,076 : 6,017,695,720,308 = 6,017,695,720,308 : x
  2. Step 2: Convert to fraction form
    2,778,036,050,076/6,017,695,720,308 = 6,017,695,720,308/x
  3. Step 3: Cross multiply
    2,778,036,050,076x = 6,017,695,720,308 × 6,017,695,720,308
  4. Step 4: Simplify right side
    2,778,036,050,076x = 36,212,661,782,213,217,006,649,344
  5. Step 5: Solve for x
    x = 36,212,661,782,213,217,006,649,344/2,778,036,050,076
  6. Step 6: Final answer
    x = 13,035,346,240,817.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.