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Finding the Third Proportional to 49,924,889,685 and 106,918,712,307

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Solution

The third proportional to 49,924,889,685 and 106,918,712,307 is: 228,976,190,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924,889,685 : 106,918,712,307 = 106,918,712,307 : x
  2. Step 2: Convert to fraction form
    49,924,889,685/106,918,712,307 = 106,918,712,307/x
  3. Step 3: Cross multiply
    49,924,889,685x = 106,918,712,307 × 106,918,712,307
  4. Step 4: Simplify right side
    49,924,889,685x = 11,431,611,041,387,032,608,768
  5. Step 5: Solve for x
    x = 11,431,611,041,387,032,608,768/49,924,889,685
  6. Step 6: Final answer
    x = 228,976,190,303.36

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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.