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Finding the Third Proportional to 252,218,004 and 554,124,636

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Solution

The third proportional to 252,218,004 and 554,124,636 is: 1,217,415,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,218,004 : 554,124,636 = 554,124,636 : x
  2. Step 2: Convert to fraction form
    252,218,004/554,124,636 = 554,124,636/x
  3. Step 3: Cross multiply
    252,218,004x = 554,124,636 × 554,124,636
  4. Step 4: Simplify right side
    252,218,004x = 307,054,112,222,132,480
  5. Step 5: Solve for x
    x = 307,054,112,222,132,480/252,218,004
  6. Step 6: Final answer
    x = 1,217,415,518.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.