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Finding the Third Proportional to 402,060,631.50 and 870,883,903.13

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Solution

The third proportional to 402,060,631.50 and 870,883,903.13 is: 1,886,379,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,060,631.50 : 870,883,903.13 = 870,883,903.13 : x
  2. Step 2: Convert to fraction form
    402,060,631.50/870,883,903.13 = 870,883,903.13/x
  3. Step 3: Cross multiply
    402,060,631.50x = 870,883,903.13 × 870,883,903.13
  4. Step 4: Simplify right side
    402,060,631.50x = 758,438,772,722,234,368
  5. Step 5: Solve for x
    x = 758,438,772,722,234,368/402,060,631.50
  6. Step 6: Final answer
    x = 1,886,379,101.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.