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Finding the Third Proportional to 7,872,612,426 and 17,349,913,956

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Solution

The third proportional to 7,872,612,426 and 17,349,913,956 is: 38,236,292,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,612,426 : 17,349,913,956 = 17,349,913,956 : x
  2. Step 2: Convert to fraction form
    7,872,612,426/17,349,913,956 = 17,349,913,956/x
  3. Step 3: Cross multiply
    7,872,612,426x = 17,349,913,956 × 17,349,913,956
  4. Step 4: Simplify right side
    7,872,612,426x = 301,019,514,280,603,549,696
  5. Step 5: Solve for x
    x = 301,019,514,280,603,549,696/7,872,612,426
  6. Step 6: Final answer
    x = 38,236,292,858.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.