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Finding the Third Proportional to 2,398,240,964 and 5,347,915,242

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Solution

The third proportional to 2,398,240,964 and 5,347,915,242 is: 11,925,489,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,240,964 : 5,347,915,242 = 5,347,915,242 : x
  2. Step 2: Convert to fraction form
    2,398,240,964/5,347,915,242 = 5,347,915,242/x
  3. Step 3: Cross multiply
    2,398,240,964x = 5,347,915,242 × 5,347,915,242
  4. Step 4: Simplify right side
    2,398,240,964x = 28,600,197,435,615,920,128
  5. Step 5: Solve for x
    x = 28,600,197,435,615,920,128/2,398,240,964
  6. Step 6: Final answer
    x = 11,925,489,500.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.