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Finding the Third Proportional to 20,706,642 and 31,490,164

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Solution

The third proportional to 20,706,642 and 31,490,164 is: 47,889,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706,642 : 31,490,164 = 31,490,164 : x
  2. Step 2: Convert to fraction form
    20,706,642/31,490,164 = 31,490,164/x
  3. Step 3: Cross multiply
    20,706,642x = 31,490,164 × 31,490,164
  4. Step 4: Simplify right side
    20,706,642x = 991,630,428,746,896
  5. Step 5: Solve for x
    x = 991,630,428,746,896/20,706,642
  6. Step 6: Final answer
    x = 47,889,485.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.