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Finding the Third Proportional to 6,460,677,202 and 14,023,983,748

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Solution

The third proportional to 6,460,677,202 and 14,023,983,748 is: 30,441,409,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,677,202 : 14,023,983,748 = 14,023,983,748 : x
  2. Step 2: Convert to fraction form
    6,460,677,202/14,023,983,748 = 14,023,983,748/x
  3. Step 3: Cross multiply
    6,460,677,202x = 14,023,983,748 × 14,023,983,748
  4. Step 4: Simplify right side
    6,460,677,202x = 196,672,120,164,168,138,752
  5. Step 5: Solve for x
    x = 196,672,120,164,168,138,752/6,460,677,202
  6. Step 6: Final answer
    x = 30,441,409,470.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.