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Finding the Third Proportional to 233,265,554 and 501,148,345

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Solution

The third proportional to 233,265,554 and 501,148,345 is: 1,076,668,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,554 : 501,148,345 = 501,148,345 : x
  2. Step 2: Convert to fraction form
    233,265,554/501,148,345 = 501,148,345/x
  3. Step 3: Cross multiply
    233,265,554x = 501,148,345 × 501,148,345
  4. Step 4: Simplify right side
    233,265,554x = 251,149,663,696,239,040
  5. Step 5: Solve for x
    x = 251,149,663,696,239,040/233,265,554
  6. Step 6: Final answer
    x = 1,076,668,455.28

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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.