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Finding the Third Proportional to 4,821,129 and 7,293,901.50

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Solution

The third proportional to 4,821,129 and 7,293,901.50 is: 11,034,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821,129 : 7,293,901.50 = 7,293,901.50 : x
  2. Step 2: Convert to fraction form
    4,821,129/7,293,901.50 = 7,293,901.50/x
  3. Step 3: Cross multiply
    4,821,129x = 7,293,901.50 × 7,293,901.50
  4. Step 4: Simplify right side
    4,821,129x = 53,200,999,091,702.25
  5. Step 5: Solve for x
    x = 53,200,999,091,702.25/4,821,129
  6. Step 6: Final answer
    x = 11,034,966.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.