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Finding the Third Proportional to 832,507,510.50 and 1,851,150,510

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Solution

The third proportional to 832,507,510.50 and 1,851,150,510 is: 4,116,188,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,507,510.50 : 1,851,150,510 = 1,851,150,510 : x
  2. Step 2: Convert to fraction form
    832,507,510.50/1,851,150,510 = 1,851,150,510/x
  3. Step 3: Cross multiply
    832,507,510.50x = 1,851,150,510 × 1,851,150,510
  4. Step 4: Simplify right side
    832,507,510.50x = 3,426,758,210,673,260,032
  5. Step 5: Solve for x
    x = 3,426,758,210,673,260,032/832,507,510.50
  6. Step 6: Final answer
    x = 4,116,188,944.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.