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Finding the Third Proportional to 162,910,531,314 and 350,718,863,040

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Solution

The third proportional to 162,910,531,314 and 350,718,863,040 is: 755,038,485,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,910,531,314 : 350,718,863,040 = 350,718,863,040 : x
  2. Step 2: Convert to fraction form
    162,910,531,314/350,718,863,040 = 350,718,863,040/x
  3. Step 3: Cross multiply
    162,910,531,314x = 350,718,863,040 × 350,718,863,040
  4. Step 4: Simplify right side
    162,910,531,314x = 123,003,720,892,070,271,909,888
  5. Step 5: Solve for x
    x = 123,003,720,892,070,271,909,888/162,910,531,314
  6. Step 6: Final answer
    x = 755,038,485,848.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.