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Finding the Third Proportional to 49,924,889,686 and 106,918,712,309

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Solution

The third proportional to 49,924,889,686 and 106,918,712,309 is: 228,976,190,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924,889,686 : 106,918,712,309 = 106,918,712,309 : x
  2. Step 2: Convert to fraction form
    49,924,889,686/106,918,712,309 = 106,918,712,309/x
  3. Step 3: Cross multiply
    49,924,889,686x = 106,918,712,309 × 106,918,712,309
  4. Step 4: Simplify right side
    49,924,889,686x = 11,431,611,041,814,709,010,432
  5. Step 5: Solve for x
    x = 11,431,611,041,814,709,010,432/49,924,889,686
  6. Step 6: Final answer
    x = 228,976,190,307.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.