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Finding the Third Proportional to 12,742,354,638 and 17,717,225,592

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Solution

The third proportional to 12,742,354,638 and 17,717,225,592 is: 24,634,385,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,354,638 : 17,717,225,592 = 17,717,225,592 : x
  2. Step 2: Convert to fraction form
    12,742,354,638/17,717,225,592 = 17,717,225,592/x
  3. Step 3: Cross multiply
    12,742,354,638x = 17,717,225,592 × 17,717,225,592
  4. Step 4: Simplify right side
    12,742,354,638x = 313,900,082,677,819,768,832
  5. Step 5: Solve for x
    x = 313,900,082,677,819,768,832/12,742,354,638
  6. Step 6: Final answer
    x = 24,634,385,998.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.