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Finding the Third Proportional to 1,905,316,300 and 4,086,312,860

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Solution

The third proportional to 1,905,316,300 and 4,086,312,860 is: 8,763,874,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,316,300 : 4,086,312,860 = 4,086,312,860 : x
  2. Step 2: Convert to fraction form
    1,905,316,300/4,086,312,860 = 4,086,312,860/x
  3. Step 3: Cross multiply
    1,905,316,300x = 4,086,312,860 × 4,086,312,860
  4. Step 4: Simplify right side
    1,905,316,300x = 16,697,952,789,801,379,840
  5. Step 5: Solve for x
    x = 16,697,952,789,801,379,840/1,905,316,300
  6. Step 6: Final answer
    x = 8,763,874,423.27

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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.