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Finding the Third Proportional to 35,506,741 and 76,498,491

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Solution

The third proportional to 35,506,741 and 76,498,491 is: 164,814,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,506,741 : 76,498,491 = 76,498,491 : x
  2. Step 2: Convert to fraction form
    35,506,741/76,498,491 = 76,498,491/x
  3. Step 3: Cross multiply
    35,506,741x = 76,498,491 × 76,498,491
  4. Step 4: Simplify right side
    35,506,741x = 5,852,019,125,277,081
  5. Step 5: Solve for x
    x = 5,852,019,125,277,081/35,506,741
  6. Step 6: Final answer
    x = 164,814,313.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.