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Finding the Third Proportional to 2,937,276,075 and 6,339,710,032

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Solution

The third proportional to 2,937,276,075 and 6,339,710,032 is: 13,683,399,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937,276,075 : 6,339,710,032 = 6,339,710,032 : x
  2. Step 2: Convert to fraction form
    2,937,276,075/6,339,710,032 = 6,339,710,032/x
  3. Step 3: Cross multiply
    2,937,276,075x = 6,339,710,032 × 6,339,710,032
  4. Step 4: Simplify right side
    2,937,276,075x = 40,191,923,289,841,442,816
  5. Step 5: Solve for x
    x = 40,191,923,289,841,442,816/2,937,276,075
  6. Step 6: Final answer
    x = 13,683,399,947.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.