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Finding the Third Proportional to 24,706,643 and 38,302,180.50

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Solution

The third proportional to 24,706,643 and 38,302,180.50 is: 59,379,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706,643 : 38,302,180.50 = 38,302,180.50 : x
  2. Step 2: Convert to fraction form
    24,706,643/38,302,180.50 = 38,302,180.50/x
  3. Step 3: Cross multiply
    24,706,643x = 38,302,180.50 × 38,302,180.50
  4. Step 4: Simplify right side
    24,706,643x = 1,467,057,031,054,580.25
  5. Step 5: Solve for x
    x = 1,467,057,031,054,580.25/24,706,643
  6. Step 6: Final answer
    x = 59,379,051.66

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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.