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Finding the Third Proportional to 32,085,783.50 and 47,421,058.50

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Solution

The third proportional to 32,085,783.50 and 47,421,058.50 is: 70,085,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085,783.50 : 47,421,058.50 = 47,421,058.50 : x
  2. Step 2: Convert to fraction form
    32,085,783.50/47,421,058.50 = 47,421,058.50/x
  3. Step 3: Cross multiply
    32,085,783.50x = 47,421,058.50 × 47,421,058.50
  4. Step 4: Simplify right side
    32,085,783.50x = 2,248,756,789,260,422.25
  5. Step 5: Solve for x
    x = 2,248,756,789,260,422.25/32,085,783.50
  6. Step 6: Final answer
    x = 70,085,768.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.