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Finding the Third Proportional to 2,902,738,289 and 4,482,430,946

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Solution

The third proportional to 2,902,738,289 and 4,482,430,946 is: 6,921,804,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902,738,289 : 4,482,430,946 = 4,482,430,946 : x
  2. Step 2: Convert to fraction form
    2,902,738,289/4,482,430,946 = 4,482,430,946/x
  3. Step 3: Cross multiply
    2,902,738,289x = 4,482,430,946 × 4,482,430,946
  4. Step 4: Simplify right side
    2,902,738,289x = 20,092,187,185,658,454,016
  5. Step 5: Solve for x
    x = 20,092,187,185,658,454,016/2,902,738,289
  6. Step 6: Final answer
    x = 6,921,804,580.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.