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Finding the Third Proportional to 368,198,004 and 818,117,484

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Solution

The third proportional to 368,198,004 and 818,117,484 is: 1,817,815,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,198,004 : 818,117,484 = 818,117,484 : x
  2. Step 2: Convert to fraction form
    368,198,004/818,117,484 = 818,117,484/x
  3. Step 3: Cross multiply
    368,198,004x = 818,117,484 × 818,117,484
  4. Step 4: Simplify right side
    368,198,004x = 669,316,217,626,490,240
  5. Step 5: Solve for x
    x = 669,316,217,626,490,240/368,198,004
  6. Step 6: Final answer
    x = 1,817,815,985.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.