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Finding the Third Proportional to 35,459,505 and 77,645,007

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Solution

The third proportional to 35,459,505 and 77,645,007 is: 170,017,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,459,505 : 77,645,007 = 77,645,007 : x
  2. Step 2: Convert to fraction form
    35,459,505/77,645,007 = 77,645,007/x
  3. Step 3: Cross multiply
    35,459,505x = 77,645,007 × 77,645,007
  4. Step 4: Simplify right side
    35,459,505x = 6,028,747,112,030,049
  5. Step 5: Solve for x
    x = 6,028,747,112,030,049/35,459,505
  6. Step 6: Final answer
    x = 170,017,802.34

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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.