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Finding the Third Proportional to 2,148,176,511 and 4,626,896,202

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Solution

The third proportional to 2,148,176,511 and 4,626,896,202 is: 9,965,739,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,176,511 : 4,626,896,202 = 4,626,896,202 : x
  2. Step 2: Convert to fraction form
    2,148,176,511/4,626,896,202 = 4,626,896,202/x
  3. Step 3: Cross multiply
    2,148,176,511x = 4,626,896,202 × 4,626,896,202
  4. Step 4: Simplify right side
    2,148,176,511x = 21,408,168,464,082,026,496
  5. Step 5: Solve for x
    x = 21,408,168,464,082,026,496/2,148,176,511
  6. Step 6: Final answer
    x = 9,965,739,944.77

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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.