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Finding the Third Proportional to 31,575,706 and 47,235,004

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Solution

The third proportional to 31,575,706 and 47,235,004 is: 70,660,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575,706 : 47,235,004 = 47,235,004 : x
  2. Step 2: Convert to fraction form
    31,575,706/47,235,004 = 47,235,004/x
  3. Step 3: Cross multiply
    31,575,706x = 47,235,004 × 47,235,004
  4. Step 4: Simplify right side
    31,575,706x = 2,231,145,602,880,016
  5. Step 5: Solve for x
    x = 2,231,145,602,880,016/31,575,706
  6. Step 6: Final answer
    x = 70,660,196.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.