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Finding the Third Proportional to 69,860,348,818 and 151,960,953,100

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Solution

The third proportional to 69,860,348,818 and 151,960,953,100 is: 330,547,036,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,860,348,818 : 151,960,953,100 = 151,960,953,100 : x
  2. Step 2: Convert to fraction form
    69,860,348,818/151,960,953,100 = 151,960,953,100/x
  3. Step 3: Cross multiply
    69,860,348,818x = 151,960,953,100 × 151,960,953,100
  4. Step 4: Simplify right side
    69,860,348,818x = 23,092,131,267,060,401,438,720
  5. Step 5: Solve for x
    x = 23,092,131,267,060,401,438,720/69,860,348,818
  6. Step 6: Final answer
    x = 330,547,036,448.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.