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Finding the Third Proportional to 27,695,280 and 64,109,558.50

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Solution

The third proportional to 27,695,280 and 64,109,558.50 is: 148,402,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695,280 : 64,109,558.50 = 64,109,558.50 : x
  2. Step 2: Convert to fraction form
    27,695,280/64,109,558.50 = 64,109,558.50/x
  3. Step 3: Cross multiply
    27,695,280x = 64,109,558.50 × 64,109,558.50
  4. Step 4: Simplify right side
    27,695,280x = 4,110,035,491,064,922
  5. Step 5: Solve for x
    x = 4,110,035,491,064,922/27,695,280
  6. Step 6: Final answer
    x = 148,402,019.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.