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Finding the Third Proportional to 426,367,349,972 and 948,064,354,008

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Solution

The third proportional to 426,367,349,972 and 948,064,354,008 is: 2,108,102,366,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,367,349,972 : 948,064,354,008 = 948,064,354,008 : x
  2. Step 2: Convert to fraction form
    426,367,349,972/948,064,354,008 = 948,064,354,008/x
  3. Step 3: Cross multiply
    426,367,349,972x = 948,064,354,008 × 948,064,354,008
  4. Step 4: Simplify right side
    426,367,349,972x = 898,826,019,340,606,330,896,384
  5. Step 5: Solve for x
    x = 898,826,019,340,606,330,896,384/426,367,349,972
  6. Step 6: Final answer
    x = 2,108,102,366,186.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.