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Finding the Third Proportional to 31,901,071.50 and 69,977,659.50

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Solution

The third proportional to 31,901,071.50 and 69,977,659.50 is: 153,501,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901,071.50 : 69,977,659.50 = 69,977,659.50 : x
  2. Step 2: Convert to fraction form
    31,901,071.50/69,977,659.50 = 69,977,659.50/x
  3. Step 3: Cross multiply
    31,901,071.50x = 69,977,659.50 × 69,977,659.50
  4. Step 4: Simplify right side
    31,901,071.50x = 4,896,872,829,097,940
  5. Step 5: Solve for x
    x = 4,896,872,829,097,940/31,901,071.50
  6. Step 6: Final answer
    x = 153,501,829.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.