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Finding the Third Proportional to 377,737,516.13 and 812,870,663.63

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Solution

The third proportional to 377,737,516.13 and 812,870,663.63 is: 1,749,253,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,737,516.13 : 812,870,663.63 = 812,870,663.63 : x
  2. Step 2: Convert to fraction form
    377,737,516.13/812,870,663.63 = 812,870,663.63/x
  3. Step 3: Cross multiply
    377,737,516.13x = 812,870,663.63 × 812,870,663.63
  4. Step 4: Simplify right side
    377,737,516.13x = 660,758,715,782,147,840
  5. Step 5: Solve for x
    x = 660,758,715,782,147,840/377,737,516.13
  6. Step 6: Final answer
    x = 1,749,253,615.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.