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Finding the Third Proportional to 346,488,914 and 770,447,164

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Solution

The third proportional to 346,488,914 and 770,447,164 is: 1,713,153,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,488,914 : 770,447,164 = 770,447,164 : x
  2. Step 2: Convert to fraction form
    346,488,914/770,447,164 = 770,447,164/x
  3. Step 3: Cross multiply
    346,488,914x = 770,447,164 × 770,447,164
  4. Step 4: Simplify right side
    346,488,914x = 593,588,832,515,642,880
  5. Step 5: Solve for x
    x = 593,588,832,515,642,880/346,488,914
  6. Step 6: Final answer
    x = 1,713,153,894.78

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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.