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Finding the Third Proportional to 45,411,540.75 and 68,103,004.50

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Solution

The third proportional to 45,411,540.75 and 68,103,004.50 is: 102,133,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,411,540.75 : 68,103,004.50 = 68,103,004.50 : x
  2. Step 2: Convert to fraction form
    45,411,540.75/68,103,004.50 = 68,103,004.50/x
  3. Step 3: Cross multiply
    45,411,540.75x = 68,103,004.50 × 68,103,004.50
  4. Step 4: Simplify right side
    45,411,540.75x = 4,638,019,221,927,020
  5. Step 5: Solve for x
    x = 4,638,019,221,927,020/45,411,540.75
  6. Step 6: Final answer
    x = 102,133,051.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.