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Finding the Third Proportional to 280,618,624,368 and 654,799,418,424

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Solution

The third proportional to 280,618,624,368 and 654,799,418,424 is: 1,527,918,110,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,618,624,368 : 654,799,418,424 = 654,799,418,424 : x
  2. Step 2: Convert to fraction form
    280,618,624,368/654,799,418,424 = 654,799,418,424/x
  3. Step 3: Cross multiply
    280,618,624,368x = 654,799,418,424 × 654,799,418,424
  4. Step 4: Simplify right side
    280,618,624,368x = 428,762,278,368,408,626,003,968
  5. Step 5: Solve for x
    x = 428,762,278,368,408,626,003,968/280,618,624,368
  6. Step 6: Final answer
    x = 1,527,918,110,688.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.