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Finding the Third Proportional to 2,984,712,138 and 6,388,705,389.38

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Solution

The third proportional to 2,984,712,138 and 6,388,705,389.38 is: 13,674,872,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,712,138 : 6,388,705,389.38 = 6,388,705,389.38 : x
  2. Step 2: Convert to fraction form
    2,984,712,138/6,388,705,389.38 = 6,388,705,389.38/x
  3. Step 3: Cross multiply
    2,984,712,138x = 6,388,705,389.38 × 6,388,705,389.38
  4. Step 4: Simplify right side
    2,984,712,138x = 40,815,556,552,229,167,104
  5. Step 5: Solve for x
    x = 40,815,556,552,229,167,104/2,984,712,138
  6. Step 6: Final answer
    x = 13,674,872,036.26

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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.