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Finding the Third Proportional to 2,310,215,824 and 5,043,773,491

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Solution

The third proportional to 2,310,215,824 and 5,043,773,491 is: 11,011,807,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,215,824 : 5,043,773,491 = 5,043,773,491 : x
  2. Step 2: Convert to fraction form
    2,310,215,824/5,043,773,491 = 5,043,773,491/x
  3. Step 3: Cross multiply
    2,310,215,824x = 5,043,773,491 × 5,043,773,491
  4. Step 4: Simplify right side
    2,310,215,824x = 25,439,651,028,514,328,576
  5. Step 5: Solve for x
    x = 25,439,651,028,514,328,576/2,310,215,824
  6. Step 6: Final answer
    x = 11,011,807,106.60

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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.