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Finding the Third Proportional to 1,269,981,676,395.80 and 1,941,416,064,663.80

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Solution

The third proportional to 1,269,981,676,395.80 and 1,941,416,064,663.80 is: 2,967,835,210,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,981,676,395.80 : 1,941,416,064,663.80 = 1,941,416,064,663.80 : x
  2. Step 2: Convert to fraction form
    1,269,981,676,395.80/1,941,416,064,663.80 = 1,941,416,064,663.80/x
  3. Step 3: Cross multiply
    1,269,981,676,395.80x = 1,941,416,064,663.80 × 1,941,416,064,663.80
  4. Step 4: Simplify right side
    1,269,981,676,395.80x = 3,769,096,336,134,676,020,199,424
  5. Step 5: Solve for x
    x = 3,769,096,336,134,676,020,199,424/1,269,981,676,395.80
  6. Step 6: Final answer
    x = 2,967,835,210,686.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.