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Finding the Third Proportional to 1,049,468,600 and 2,296,634,080

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Solution

The third proportional to 1,049,468,600 and 2,296,634,080 is: 5,025,903,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,468,600 : 2,296,634,080 = 2,296,634,080 : x
  2. Step 2: Convert to fraction form
    1,049,468,600/2,296,634,080 = 2,296,634,080/x
  3. Step 3: Cross multiply
    1,049,468,600x = 2,296,634,080 × 2,296,634,080
  4. Step 4: Simplify right side
    1,049,468,600x = 5,274,528,097,417,446,400
  5. Step 5: Solve for x
    x = 5,274,528,097,417,446,400/1,049,468,600
  6. Step 6: Final answer
    x = 5,025,903,678.70

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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.