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Finding the Third Proportional to 500,111,990,828 and 1,072,823,408,730

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Solution

The third proportional to 500,111,990,828 and 1,072,823,408,730 is: 2,301,384,664,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,111,990,828 : 1,072,823,408,730 = 1,072,823,408,730 : x
  2. Step 2: Convert to fraction form
    500,111,990,828/1,072,823,408,730 = 1,072,823,408,730/x
  3. Step 3: Cross multiply
    500,111,990,828x = 1,072,823,408,730 × 1,072,823,408,730
  4. Step 4: Simplify right side
    500,111,990,828x = 1,150,950,066,319,056,695,197,696
  5. Step 5: Solve for x
    x = 1,150,950,066,319,056,695,197,696/500,111,990,828
  6. Step 6: Final answer
    x = 2,301,384,664,689.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.