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Finding the Third Proportional to 1,360,786,361.63 and 2,968,923,213

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Solution

The third proportional to 1,360,786,361.63 and 2,968,923,213 is: 6,477,508,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,786,361.63 : 2,968,923,213 = 2,968,923,213 : x
  2. Step 2: Convert to fraction form
    1,360,786,361.63/2,968,923,213 = 2,968,923,213/x
  3. Step 3: Cross multiply
    1,360,786,361.63x = 2,968,923,213 × 2,968,923,213
  4. Step 4: Simplify right side
    1,360,786,361.63x = 8,814,505,044,690,243,584
  5. Step 5: Solve for x
    x = 8,814,505,044,690,243,584/1,360,786,361.63
  6. Step 6: Final answer
    x = 6,477,508,368.15

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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.