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Finding the Third Proportional to 462,564,899.25 and 1,009,893,771

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Solution

The third proportional to 462,564,899.25 and 1,009,893,771 is: 2,204,848,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,564,899.25 : 1,009,893,771 = 1,009,893,771 : x
  2. Step 2: Convert to fraction form
    462,564,899.25/1,009,893,771 = 1,009,893,771/x
  3. Step 3: Cross multiply
    462,564,899.25x = 1,009,893,771 × 1,009,893,771
  4. Step 4: Simplify right side
    462,564,899.25x = 1,019,885,428,704,600,448
  5. Step 5: Solve for x
    x = 1,019,885,428,704,600,448/462,564,899.25
  6. Step 6: Final answer
    x = 2,204,848,293.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.