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Finding the Third Proportional to 1,406,811,309.50 and 2,995,572,272

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Solution

The third proportional to 1,406,811,309.50 and 2,995,572,272 is: 6,378,576,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,811,309.50 : 2,995,572,272 = 2,995,572,272 : x
  2. Step 2: Convert to fraction form
    1,406,811,309.50/2,995,572,272 = 2,995,572,272/x
  3. Step 3: Cross multiply
    1,406,811,309.50x = 2,995,572,272 × 2,995,572,272
  4. Step 4: Simplify right side
    1,406,811,309.50x = 8,973,453,236,775,241,728
  5. Step 5: Solve for x
    x = 8,973,453,236,775,241,728/1,406,811,309.50
  6. Step 6: Final answer
    x = 6,378,576,271.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.