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Finding the Third Proportional to 2,148,176,515 and 4,626,896,210

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Solution

The third proportional to 2,148,176,515 and 4,626,896,210 is: 9,965,739,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,176,515 : 4,626,896,210 = 4,626,896,210 : x
  2. Step 2: Convert to fraction form
    2,148,176,515/4,626,896,210 = 4,626,896,210/x
  3. Step 3: Cross multiply
    2,148,176,515x = 4,626,896,210 × 4,626,896,210
  4. Step 4: Simplify right side
    2,148,176,515x = 21,408,168,538,112,364,544
  5. Step 5: Solve for x
    x = 21,408,168,538,112,364,544/2,148,176,515
  6. Step 6: Final answer
    x = 9,965,739,960.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.