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Finding the Third Proportional to 26,312,575,826 and 56,818,919,900

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Solution

The third proportional to 26,312,575,826 and 56,818,919,900 is: 122,693,790,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,312,575,826 : 56,818,919,900 = 56,818,919,900 : x
  2. Step 2: Convert to fraction form
    26,312,575,826/56,818,919,900 = 56,818,919,900/x
  3. Step 3: Cross multiply
    26,312,575,826x = 56,818,919,900 × 56,818,919,900
  4. Step 4: Simplify right side
    26,312,575,826x = 3,228,389,658,602,615,865,344
  5. Step 5: Solve for x
    x = 3,228,389,658,602,615,865,344/26,312,575,826
  6. Step 6: Final answer
    x = 122,693,790,222.26

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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.