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Finding the Third Proportional to 30,771,490.50 and 48,725,867.25

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Solution

The third proportional to 30,771,490.50 and 48,725,867.25 is: 77,156,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771,490.50 : 48,725,867.25 = 48,725,867.25 : x
  2. Step 2: Convert to fraction form
    30,771,490.50/48,725,867.25 = 48,725,867.25/x
  3. Step 3: Cross multiply
    30,771,490.50x = 48,725,867.25 × 48,725,867.25
  4. Step 4: Simplify right side
    30,771,490.50x = 2,374,210,139,264,622.50
  5. Step 5: Solve for x
    x = 2,374,210,139,264,622.50/30,771,490.50
  6. Step 6: Final answer
    x = 77,156,163.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.