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Finding the Third Proportional to 1,905,316,306 and 4,086,312,872

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Solution

The third proportional to 1,905,316,306 and 4,086,312,872 is: 8,763,874,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,316,306 : 4,086,312,872 = 4,086,312,872 : x
  2. Step 2: Convert to fraction form
    1,905,316,306/4,086,312,872 = 4,086,312,872/x
  3. Step 3: Cross multiply
    1,905,316,306x = 4,086,312,872 × 4,086,312,872
  4. Step 4: Simplify right side
    1,905,316,306x = 16,697,952,887,872,888,832
  5. Step 5: Solve for x
    x = 16,697,952,887,872,888,832/1,905,316,306
  6. Step 6: Final answer
    x = 8,763,874,447.14

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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.