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Finding the Third Proportional to 13,009,666,771.50 and 17,553,094,922.25

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Solution

The third proportional to 13,009,666,771.50 and 17,553,094,922.25 is: 23,683,246,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009,666,771.50 : 17,553,094,922.25 = 17,553,094,922.25 : x
  2. Step 2: Convert to fraction form
    13,009,666,771.50/17,553,094,922.25 = 17,553,094,922.25/x
  3. Step 3: Cross multiply
    13,009,666,771.50x = 17,553,094,922.25 × 17,553,094,922.25
  4. Step 4: Simplify right side
    13,009,666,771.50x = 308,111,141,349,518,737,408
  5. Step 5: Solve for x
    x = 308,111,141,349,518,737,408/13,009,666,771.50
  6. Step 6: Final answer
    x = 23,683,246,216.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.