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Finding the Third Proportional to 655,457,030 and 1,404,406,055

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Solution

The third proportional to 655,457,030 and 1,404,406,055 is: 3,009,131,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,457,030 : 1,404,406,055 = 1,404,406,055 : x
  2. Step 2: Convert to fraction form
    655,457,030/1,404,406,055 = 1,404,406,055/x
  3. Step 3: Cross multiply
    655,457,030x = 1,404,406,055 × 1,404,406,055
  4. Step 4: Simplify right side
    655,457,030x = 1,972,356,367,320,663,040
  5. Step 5: Solve for x
    x = 1,972,356,367,320,663,040/655,457,030
  6. Step 6: Final answer
    x = 3,009,131,456.44

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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.