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Finding the Third Proportional to 15,762,245,031 and 34,268,072,814

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Solution

The third proportional to 15,762,245,031 and 34,268,072,814 is: 74,500,860,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762,245,031 : 34,268,072,814 = 34,268,072,814 : x
  2. Step 2: Convert to fraction form
    15,762,245,031/34,268,072,814 = 34,268,072,814/x
  3. Step 3: Cross multiply
    15,762,245,031x = 34,268,072,814 × 34,268,072,814
  4. Step 4: Simplify right side
    15,762,245,031x = 1,174,300,814,385,605,902,336
  5. Step 5: Solve for x
    x = 1,174,300,814,385,605,902,336/15,762,245,031
  6. Step 6: Final answer
    x = 74,500,860,256.65

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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.