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Finding the Third Proportional to 25,163,689,964 and 39,071,425,842

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Solution

The third proportional to 25,163,689,964 and 39,071,425,842 is: 60,665,837,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,163,689,964 : 39,071,425,842 = 39,071,425,842 : x
  2. Step 2: Convert to fraction form
    25,163,689,964/39,071,425,842 = 39,071,425,842/x
  3. Step 3: Cross multiply
    25,163,689,964x = 39,071,425,842 × 39,071,425,842
  4. Step 4: Simplify right side
    25,163,689,964x = 1,526,576,317,326,905,311,232
  5. Step 5: Solve for x
    x = 1,526,576,317,326,905,311,232/25,163,689,964
  6. Step 6: Final answer
    x = 60,665,837,145.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.