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Finding the Third Proportional to 497,036,048.63 and 741,243,833.44

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Solution

The third proportional to 497,036,048.63 and 741,243,833.44 is: 1,105,437,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,036,048.63 : 741,243,833.44 = 741,243,833.44 : x
  2. Step 2: Convert to fraction form
    497,036,048.63/741,243,833.44 = 741,243,833.44/x
  3. Step 3: Cross multiply
    497,036,048.63x = 741,243,833.44 × 741,243,833.44
  4. Step 4: Simplify right side
    497,036,048.63x = 549,442,420,609,120,256
  5. Step 5: Solve for x
    x = 549,442,420,609,120,256/497,036,048.63
  6. Step 6: Final answer
    x = 1,105,437,768.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.