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Finding the Third Proportional to 443,649,914 and 689,668,464

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Solution

The third proportional to 443,649,914 and 689,668,464 is: 1,072,112,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,649,914 : 689,668,464 = 689,668,464 : x
  2. Step 2: Convert to fraction form
    443,649,914/689,668,464 = 689,668,464/x
  3. Step 3: Cross multiply
    443,649,914x = 689,668,464 × 689,668,464
  4. Step 4: Simplify right side
    443,649,914x = 475,642,590,236,119,296
  5. Step 5: Solve for x
    x = 475,642,590,236,119,296/443,649,914
  6. Step 6: Final answer
    x = 1,072,112,436.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.