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Finding the Third Proportional to 35,459,513 and 77,645,022

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Solution

The third proportional to 35,459,513 and 77,645,022 is: 170,017,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,459,513 : 77,645,022 = 77,645,022 : x
  2. Step 2: Convert to fraction form
    35,459,513/77,645,022 = 77,645,022/x
  3. Step 3: Cross multiply
    35,459,513x = 77,645,022 × 77,645,022
  4. Step 4: Simplify right side
    35,459,513x = 6,028,749,441,380,484
  5. Step 5: Solve for x
    x = 6,028,749,441,380,484/35,459,513
  6. Step 6: Final answer
    x = 170,017,829.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.