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Finding the Third Proportional to 477,886,872 and 1,039,874,102

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Solution

The third proportional to 477,886,872 and 1,039,874,102 is: 2,262,749,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,886,872 : 1,039,874,102 = 1,039,874,102 : x
  2. Step 2: Convert to fraction form
    477,886,872/1,039,874,102 = 1,039,874,102/x
  3. Step 3: Cross multiply
    477,886,872x = 1,039,874,102 × 1,039,874,102
  4. Step 4: Simplify right side
    477,886,872x = 1,081,338,148,010,306,432
  5. Step 5: Solve for x
    x = 1,081,338,148,010,306,432/477,886,872
  6. Step 6: Final answer
    x = 2,262,749,222.39

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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.