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Finding the Third Proportional to 3,075,759,423 and 6,710,371,977

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Solution

The third proportional to 3,075,759,423 and 6,710,371,977 is: 14,639,991,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,759,423 : 6,710,371,977 = 6,710,371,977 : x
  2. Step 2: Convert to fraction form
    3,075,759,423/6,710,371,977 = 6,710,371,977/x
  3. Step 3: Cross multiply
    3,075,759,423x = 6,710,371,977 × 6,710,371,977
  4. Step 4: Simplify right side
    3,075,759,423x = 45,029,092,069,706,891,264
  5. Step 5: Solve for x
    x = 45,029,092,069,706,891,264/3,075,759,423
  6. Step 6: Final answer
    x = 14,639,991,584.84

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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.