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Finding the Third Proportional to 3,130,958,428 and 6,710,104,099

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Solution

The third proportional to 3,130,958,428 and 6,710,104,099 is: 14,380,739,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,958,428 : 6,710,104,099 = 6,710,104,099 : x
  2. Step 2: Convert to fraction form
    3,130,958,428/6,710,104,099 = 6,710,104,099/x
  3. Step 3: Cross multiply
    3,130,958,428x = 6,710,104,099 × 6,710,104,099
  4. Step 4: Simplify right side
    3,130,958,428x = 45,025,497,019,416,600,576
  5. Step 5: Solve for x
    x = 45,025,497,019,416,600,576/3,130,958,428
  6. Step 6: Final answer
    x = 14,380,739,334.24

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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.