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Finding the Third Proportional to 6,763,211,010 and 10,871,826,345

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Solution

The third proportional to 6,763,211,010 and 10,871,826,345 is: 17,476,404,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763,211,010 : 10,871,826,345 = 10,871,826,345 : x
  2. Step 2: Convert to fraction form
    6,763,211,010/10,871,826,345 = 10,871,826,345/x
  3. Step 3: Cross multiply
    6,763,211,010x = 10,871,826,345 × 10,871,826,345
  4. Step 4: Simplify right side
    6,763,211,010x = 118,196,608,075,836,063,744
  5. Step 5: Solve for x
    x = 118,196,608,075,836,063,744/6,763,211,010
  6. Step 6: Final answer
    x = 17,476,404,018.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.