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Finding the Third Proportional to 233,946,996 and 506,904,780

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Solution

The third proportional to 233,946,996 and 506,904,780 is: 1,098,336,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,946,996 : 506,904,780 = 506,904,780 : x
  2. Step 2: Convert to fraction form
    233,946,996/506,904,780 = 506,904,780/x
  3. Step 3: Cross multiply
    233,946,996x = 506,904,780 × 506,904,780
  4. Step 4: Simplify right side
    233,946,996x = 256,952,455,986,848,384
  5. Step 5: Solve for x
    x = 256,952,455,986,848,384/233,946,996
  6. Step 6: Final answer
    x = 1,098,336,205.98

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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.