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Finding the Third Proportional to 127,773,861 and 277,935,020

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Solution

The third proportional to 127,773,861 and 277,935,020 is: 604,567,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,773,861 : 277,935,020 = 277,935,020 : x
  2. Step 2: Convert to fraction form
    127,773,861/277,935,020 = 277,935,020/x
  3. Step 3: Cross multiply
    127,773,861x = 277,935,020 × 277,935,020
  4. Step 4: Simplify right side
    127,773,861x = 77,247,875,342,400,400
  5. Step 5: Solve for x
    x = 77,247,875,342,400,400/127,773,861
  6. Step 6: Final answer
    x = 604,567,121.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.