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Finding the Third Proportional to 1,105,051,577,065 and 2,404,689,047,099

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Solution

The third proportional to 1,105,051,577,065 and 2,404,689,047,099 is: 5,232,814,045,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,051,577,065 : 2,404,689,047,099 = 2,404,689,047,099 : x
  2. Step 2: Convert to fraction form
    1,105,051,577,065/2,404,689,047,099 = 2,404,689,047,099/x
  3. Step 3: Cross multiply
    1,105,051,577,065x = 2,404,689,047,099 × 2,404,689,047,099
  4. Step 4: Simplify right side
    1,105,051,577,065x = 5,782,529,413,237,896,432,844,800
  5. Step 5: Solve for x
    x = 5,782,529,413,237,896,432,844,800/1,105,051,577,065
  6. Step 6: Final answer
    x = 5,232,814,045,292.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.