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Finding the Third Proportional to 142,580,712 and 305,624,634

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Solution

The third proportional to 142,580,712 and 305,624,634 is: 655,112,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580,712 : 305,624,634 = 305,624,634 : x
  2. Step 2: Convert to fraction form
    142,580,712/305,624,634 = 305,624,634/x
  3. Step 3: Cross multiply
    142,580,712x = 305,624,634 × 305,624,634
  4. Step 4: Simplify right side
    142,580,712x = 93,406,416,907,633,952
  5. Step 5: Solve for x
    x = 93,406,416,907,633,952/142,580,712
  6. Step 6: Final answer
    x = 655,112,571.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.