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Finding the Third Proportional to 1,284,905,364 and 1,733,639,008

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Solution

The third proportional to 1,284,905,364 and 1,733,639,008 is: 2,339,086,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,905,364 : 1,733,639,008 = 1,733,639,008 : x
  2. Step 2: Convert to fraction form
    1,284,905,364/1,733,639,008 = 1,733,639,008/x
  3. Step 3: Cross multiply
    1,284,905,364x = 1,733,639,008 × 1,733,639,008
  4. Step 4: Simplify right side
    1,284,905,364x = 3,005,504,210,059,224,064
  5. Step 5: Solve for x
    x = 3,005,504,210,059,224,064/1,284,905,364
  6. Step 6: Final answer
    x = 2,339,086,048.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.