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Finding the Third Proportional to 12,596,340,010.50 and 27,062,010,837

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Solution

The third proportional to 12,596,340,010.50 and 27,062,010,837 is: 58,140,097,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596,340,010.50 : 27,062,010,837 = 27,062,010,837 : x
  2. Step 2: Convert to fraction form
    12,596,340,010.50/27,062,010,837 = 27,062,010,837/x
  3. Step 3: Cross multiply
    12,596,340,010.50x = 27,062,010,837 × 27,062,010,837
  4. Step 4: Simplify right side
    12,596,340,010.50x = 732,352,430,541,905,461,248
  5. Step 5: Solve for x
    x = 732,352,430,541,905,461,248/12,596,340,010.50
  6. Step 6: Final answer
    x = 58,140,097,038.62

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