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Finding the Third Proportional to 1,229,723,807 and 2,655,398,431

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Solution

The third proportional to 1,229,723,807 and 2,655,398,431 is: 5,733,922,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,723,807 : 2,655,398,431 = 2,655,398,431 : x
  2. Step 2: Convert to fraction form
    1,229,723,807/2,655,398,431 = 2,655,398,431/x
  3. Step 3: Cross multiply
    1,229,723,807x = 2,655,398,431 × 2,655,398,431
  4. Step 4: Simplify right side
    1,229,723,807x = 7,051,140,827,357,261,824
  5. Step 5: Solve for x
    x = 7,051,140,827,357,261,824/1,229,723,807
  6. Step 6: Final answer
    x = 5,733,922,354.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.