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Finding the Third Proportional to 4,736,470 and 10,269,480

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Solution

The third proportional to 4,736,470 and 10,269,480 is: 22,265,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736,470 : 10,269,480 = 10,269,480 : x
  2. Step 2: Convert to fraction form
    4,736,470/10,269,480 = 10,269,480/x
  3. Step 3: Cross multiply
    4,736,470x = 10,269,480 × 10,269,480
  4. Step 4: Simplify right side
    4,736,470x = 105,462,219,470,400
  5. Step 5: Solve for x
    x = 105,462,219,470,400/4,736,470
  6. Step 6: Final answer
    x = 22,265,995.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.