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Finding the Third Proportional to 19,781,754 and 42,176,406

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Solution

The third proportional to 19,781,754 and 42,176,406 is: 89,923,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781,754 : 42,176,406 = 42,176,406 : x
  2. Step 2: Convert to fraction form
    19,781,754/42,176,406 = 42,176,406/x
  3. Step 3: Cross multiply
    19,781,754x = 42,176,406 × 42,176,406
  4. Step 4: Simplify right side
    19,781,754x = 1,778,849,223,076,836
  5. Step 5: Solve for x
    x = 1,778,849,223,076,836/19,781,754
  6. Step 6: Final answer
    x = 89,923,735.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.