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Finding the Third Proportional to 1,149,237,305 and 1,643,411,303

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Solution

The third proportional to 1,149,237,305 and 1,643,411,303 is: 2,350,080,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,237,305 : 1,643,411,303 = 1,643,411,303 : x
  2. Step 2: Convert to fraction form
    1,149,237,305/1,643,411,303 = 1,643,411,303/x
  3. Step 3: Cross multiply
    1,149,237,305x = 1,643,411,303 × 1,643,411,303
  4. Step 4: Simplify right side
    1,149,237,305x = 2,700,800,710,828,157,952
  5. Step 5: Solve for x
    x = 2,700,800,710,828,157,952/1,149,237,305
  6. Step 6: Final answer
    x = 2,350,080,961.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.