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Finding the Third Proportional to 443,094,246 and 964,211,896

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Solution

The third proportional to 443,094,246 and 964,211,896 is: 2,098,209,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,094,246 : 964,211,896 = 964,211,896 : x
  2. Step 2: Convert to fraction form
    443,094,246/964,211,896 = 964,211,896/x
  3. Step 3: Cross multiply
    443,094,246x = 964,211,896 × 964,211,896
  4. Step 4: Simplify right side
    443,094,246x = 929,704,580,387,914,752
  5. Step 5: Solve for x
    x = 929,704,580,387,914,752/443,094,246
  6. Step 6: Final answer
    x = 2,098,209,554.24

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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.