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Finding the Third Proportional to 30,677,575.50 and 48,837,681

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Solution

The third proportional to 30,677,575.50 and 48,837,681 is: 77,747,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677,575.50 : 48,837,681 = 48,837,681 : x
  2. Step 2: Convert to fraction form
    30,677,575.50/48,837,681 = 48,837,681/x
  3. Step 3: Cross multiply
    30,677,575.50x = 48,837,681 × 48,837,681
  4. Step 4: Simplify right side
    30,677,575.50x = 2,385,119,085,457,761
  5. Step 5: Solve for x
    x = 2,385,119,085,457,761/30,677,575.50
  6. Step 6: Final answer
    x = 77,747,965.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.