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Finding the Third Proportional to 655,457,832 and 1,404,407,666.25

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Solution

The third proportional to 655,457,832 and 1,404,407,666.25 is: 3,009,134,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,457,832 : 1,404,407,666.25 = 1,404,407,666.25 : x
  2. Step 2: Convert to fraction form
    655,457,832/1,404,407,666.25 = 1,404,407,666.25/x
  3. Step 3: Cross multiply
    655,457,832x = 1,404,407,666.25 × 1,404,407,666.25
  4. Step 4: Simplify right side
    655,457,832x = 1,972,360,893,021,771,264
  5. Step 5: Solve for x
    x = 1,972,360,893,021,771,264/655,457,832
  6. Step 6: Final answer
    x = 3,009,134,679.20

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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.