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Finding the Third Proportional to 1,116,981,306 and 1,799,754,430.50

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Solution

The third proportional to 1,116,981,306 and 1,799,754,430.50 is: 2,899,883,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116,981,306 : 1,799,754,430.50 = 1,799,754,430.50 : x
  2. Step 2: Convert to fraction form
    1,116,981,306/1,799,754,430.50 = 1,799,754,430.50/x
  3. Step 3: Cross multiply
    1,116,981,306x = 1,799,754,430.50 × 1,799,754,430.50
  4. Step 4: Simplify right side
    1,116,981,306x = 3,239,116,010,104,379,392
  5. Step 5: Solve for x
    x = 3,239,116,010,104,379,392/1,116,981,306
  6. Step 6: Final answer
    x = 2,899,883,814.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.