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Finding the Third Proportional to 31,900,640 and 69,977,312

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Solution

The third proportional to 31,900,640 and 69,977,312 is: 153,502,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,640 : 69,977,312 = 69,977,312 : x
  2. Step 2: Convert to fraction form
    31,900,640/69,977,312 = 69,977,312/x
  3. Step 3: Cross multiply
    31,900,640x = 69,977,312 × 69,977,312
  4. Step 4: Simplify right side
    31,900,640x = 4,896,824,194,745,344
  5. Step 5: Solve for x
    x = 4,896,824,194,745,344/31,900,640
  6. Step 6: Final answer
    x = 153,502,380.98

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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.