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Finding the Third Proportional to 3,130,958,472 and 6,710,104,191

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Solution

The third proportional to 3,130,958,472 and 6,710,104,191 is: 14,380,739,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,958,472 : 6,710,104,191 = 6,710,104,191 : x
  2. Step 2: Convert to fraction form
    3,130,958,472/6,710,104,191 = 6,710,104,191/x
  3. Step 3: Cross multiply
    3,130,958,472x = 6,710,104,191 × 6,710,104,191
  4. Step 4: Simplify right side
    3,130,958,472x = 45,025,498,254,075,764,736
  5. Step 5: Solve for x
    x = 45,025,498,254,075,764,736/3,130,958,472
  6. Step 6: Final answer
    x = 14,380,739,526.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.