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Finding the Third Proportional to 49,924,889,683 and 106,918,712,303

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Solution

The third proportional to 49,924,889,683 and 106,918,712,303 is: 228,976,190,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924,889,683 : 106,918,712,303 = 106,918,712,303 : x
  2. Step 2: Convert to fraction form
    49,924,889,683/106,918,712,303 = 106,918,712,303/x
  3. Step 3: Cross multiply
    49,924,889,683x = 106,918,712,303 × 106,918,712,303
  4. Step 4: Simplify right side
    49,924,889,683x = 11,431,611,040,531,683,999,744
  5. Step 5: Solve for x
    x = 11,431,611,040,531,683,999,744/49,924,889,683
  6. Step 6: Final answer
    x = 228,976,190,295.40

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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.