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Finding the Third Proportional to 479,791,688 and 737,146,900

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Solution

The third proportional to 479,791,688 and 737,146,900 is: 1,132,544,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,791,688 : 737,146,900 = 737,146,900 : x
  2. Step 2: Convert to fraction form
    479,791,688/737,146,900 = 737,146,900/x
  3. Step 3: Cross multiply
    479,791,688x = 737,146,900 × 737,146,900
  4. Step 4: Simplify right side
    479,791,688x = 543,385,552,179,609,984
  5. Step 5: Solve for x
    x = 543,385,552,179,609,984/479,791,688
  6. Step 6: Final answer
    x = 1,132,544,739.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.