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Finding the Third Proportional to 15,778,362,913 and 34,712,359,951

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Solution

The third proportional to 15,778,362,913 and 34,712,359,951 is: 76,367,107,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778,362,913 : 34,712,359,951 = 34,712,359,951 : x
  2. Step 2: Convert to fraction form
    15,778,362,913/34,712,359,951 = 34,712,359,951/x
  3. Step 3: Cross multiply
    15,778,362,913x = 34,712,359,951 × 34,712,359,951
  4. Step 4: Simplify right side
    15,778,362,913x = 1,204,947,933,367,788,634,112
  5. Step 5: Solve for x
    x = 1,204,947,933,367,788,634,112/15,778,362,913
  6. Step 6: Final answer
    x = 76,367,107,285.57

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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.