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Finding the Third Proportional to 35,459,514 and 77,645,024

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Solution

The third proportional to 35,459,514 and 77,645,024 is: 170,017,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,459,514 : 77,645,024 = 77,645,024 : x
  2. Step 2: Convert to fraction form
    35,459,514/77,645,024 = 77,645,024/x
  3. Step 3: Cross multiply
    35,459,514x = 77,645,024 × 77,645,024
  4. Step 4: Simplify right side
    35,459,514x = 6,028,749,751,960,576
  5. Step 5: Solve for x
    x = 6,028,749,751,960,576/35,459,514
  6. Step 6: Final answer
    x = 170,017,833.63

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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.