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Finding the Third Proportional to 492,941,541.80 and 767,678,535.91

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Solution

The third proportional to 492,941,541.80 and 767,678,535.91 is: 1,195,537,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,941,541.80 : 767,678,535.91 = 767,678,535.91 : x
  2. Step 2: Convert to fraction form
    492,941,541.80/767,678,535.91 = 767,678,535.91/x
  3. Step 3: Cross multiply
    492,941,541.80x = 767,678,535.91 × 767,678,535.91
  4. Step 4: Simplify right side
    492,941,541.80x = 589,330,334,503,170,048
  5. Step 5: Solve for x
    x = 589,330,334,503,170,048/492,941,541.80
  6. Step 6: Final answer
    x = 1,195,537,978.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.