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Finding the Third Proportional to 462,443,420.25 and 1,091,283,701.63

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Solution

The third proportional to 462,443,420.25 and 1,091,283,701.63 is: 2,575,234,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,443,420.25 : 1,091,283,701.63 = 1,091,283,701.63 : x
  2. Step 2: Convert to fraction form
    462,443,420.25/1,091,283,701.63 = 1,091,283,701.63/x
  3. Step 3: Cross multiply
    462,443,420.25x = 1,091,283,701.63 × 1,091,283,701.63
  4. Step 4: Simplify right side
    462,443,420.25x = 1,190,900,117,432,361,984
  5. Step 5: Solve for x
    x = 1,190,900,117,432,361,984/462,443,420.25
  6. Step 6: Final answer
    x = 2,575,234,213.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.