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Finding the Third Proportional to 2,774,672,232 and 6,474,458,808

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Solution

The third proportional to 2,774,672,232 and 6,474,458,808 is: 15,107,592,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,672,232 : 6,474,458,808 = 6,474,458,808 : x
  2. Step 2: Convert to fraction form
    2,774,672,232/6,474,458,808 = 6,474,458,808/x
  3. Step 3: Cross multiply
    2,774,672,232x = 6,474,458,808 × 6,474,458,808
  4. Step 4: Simplify right side
    2,774,672,232x = 41,918,616,856,488,779,776
  5. Step 5: Solve for x
    x = 41,918,616,856,488,779,776/2,774,672,232
  6. Step 6: Final answer
    x = 15,107,592,303.35

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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.