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Finding the Third Proportional to 658,166,340 and 963,021,902

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Solution

The third proportional to 658,166,340 and 963,021,902 is: 1,409,083,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,166,340 : 963,021,902 = 963,021,902 : x
  2. Step 2: Convert to fraction form
    658,166,340/963,021,902 = 963,021,902/x
  3. Step 3: Cross multiply
    658,166,340x = 963,021,902 × 963,021,902
  4. Step 4: Simplify right side
    658,166,340x = 927,411,183,731,697,664
  5. Step 5: Solve for x
    x = 927,411,183,731,697,664/658,166,340
  6. Step 6: Final answer
    x = 1,409,083,277.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.