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Finding the Third Proportional to 1,610,386,996.50 and 3,522,218,409

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Solution

The third proportional to 1,610,386,996.50 and 3,522,218,409 is: 7,703,752,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,386,996.50 : 3,522,218,409 = 3,522,218,409 : x
  2. Step 2: Convert to fraction form
    1,610,386,996.50/3,522,218,409 = 3,522,218,409/x
  3. Step 3: Cross multiply
    1,610,386,996.50x = 3,522,218,409 × 3,522,218,409
  4. Step 4: Simplify right side
    1,610,386,996.50x = 12,406,022,520,698,490,880
  5. Step 5: Solve for x
    x = 12,406,022,520,698,490,880/1,610,386,996.50
  6. Step 6: Final answer
    x = 7,703,752,295.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.