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Finding the Third Proportional to 560,804,013.84 and 1,227,148,274.53

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Solution

The third proportional to 560,804,013.84 and 1,227,148,274.53 is: 2,685,239,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,804,013.84 : 1,227,148,274.53 = 1,227,148,274.53 : x
  2. Step 2: Convert to fraction form
    560,804,013.84/1,227,148,274.53 = 1,227,148,274.53/x
  3. Step 3: Cross multiply
    560,804,013.84x = 1,227,148,274.53 × 1,227,148,274.53
  4. Step 4: Simplify right side
    560,804,013.84x = 1,505,892,887,684,901,120
  5. Step 5: Solve for x
    x = 1,505,892,887,684,901,120/560,804,013.84
  6. Step 6: Final answer
    x = 2,685,239,139.72

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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.