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Finding the Third Proportional to 546,475,423.50 and 799,217,838

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Solution

The third proportional to 546,475,423.50 and 799,217,838 is: 1,168,852,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,475,423.50 : 799,217,838 = 799,217,838 : x
  2. Step 2: Convert to fraction form
    546,475,423.50/799,217,838 = 799,217,838/x
  3. Step 3: Cross multiply
    546,475,423.50x = 799,217,838 × 799,217,838
  4. Step 4: Simplify right side
    546,475,423.50x = 638,749,152,577,394,304
  5. Step 5: Solve for x
    x = 638,749,152,577,394,304/546,475,423.50
  6. Step 6: Final answer
    x = 1,168,852,477.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.