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Finding the Third Proportional to 346,488,915 and 770,447,166

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Solution

The third proportional to 346,488,915 and 770,447,166 is: 1,713,153,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,488,915 : 770,447,166 = 770,447,166 : x
  2. Step 2: Convert to fraction form
    346,488,915/770,447,166 = 770,447,166/x
  3. Step 3: Cross multiply
    346,488,915x = 770,447,166 × 770,447,166
  4. Step 4: Simplify right side
    346,488,915x = 593,588,835,597,431,552
  5. Step 5: Solve for x
    x = 593,588,835,597,431,552/346,488,915
  6. Step 6: Final answer
    x = 1,713,153,898.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.