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Finding the Third Proportional to 785,196,712 and 1,651,621,136

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Solution

The third proportional to 785,196,712 and 1,651,621,136 is: 3,474,100,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,196,712 : 1,651,621,136 = 1,651,621,136 : x
  2. Step 2: Convert to fraction form
    785,196,712/1,651,621,136 = 1,651,621,136/x
  3. Step 3: Cross multiply
    785,196,712x = 1,651,621,136 × 1,651,621,136
  4. Step 4: Simplify right side
    785,196,712x = 2,727,852,376,881,930,240
  5. Step 5: Solve for x
    x = 2,727,852,376,881,930,240/785,196,712
  6. Step 6: Final answer
    x = 3,474,100,610.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.