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Finding the Third Proportional to 491,117,576.63 and 736,496,026.88

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Solution

The third proportional to 491,117,576.63 and 736,496,026.88 is: 1,104,473,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,117,576.63 : 736,496,026.88 = 736,496,026.88 : x
  2. Step 2: Convert to fraction form
    491,117,576.63/736,496,026.88 = 736,496,026.88/x
  3. Step 3: Cross multiply
    491,117,576.63x = 736,496,026.88 × 736,496,026.88
  4. Step 4: Simplify right side
    491,117,576.63x = 542,426,397,602,660,736
  5. Step 5: Solve for x
    x = 542,426,397,602,660,736/491,117,576.63
  6. Step 6: Final answer
    x = 1,104,473,599.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.