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Finding the Third Proportional to 3,075,759,422 and 6,710,371,975

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Solution

The third proportional to 3,075,759,422 and 6,710,371,975 is: 14,639,991,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,759,422 : 6,710,371,975 = 6,710,371,975 : x
  2. Step 2: Convert to fraction form
    3,075,759,422/6,710,371,975 = 6,710,371,975/x
  3. Step 3: Cross multiply
    3,075,759,422x = 6,710,371,975 × 6,710,371,975
  4. Step 4: Simplify right side
    3,075,759,422x = 45,029,092,042,865,401,856
  5. Step 5: Solve for x
    x = 45,029,092,042,865,401,856/3,075,759,422
  6. Step 6: Final answer
    x = 14,639,991,580.87

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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.