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Finding the Third Proportional to 427,742,107 and 916,873,843

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Solution

The third proportional to 427,742,107 and 916,873,843 is: 1,965,337,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,742,107 : 916,873,843 = 916,873,843 : x
  2. Step 2: Convert to fraction form
    427,742,107/916,873,843 = 916,873,843/x
  3. Step 3: Cross multiply
    427,742,107x = 916,873,843 × 916,873,843
  4. Step 4: Simplify right side
    427,742,107x = 840,657,643,977,588,608
  5. Step 5: Solve for x
    x = 840,657,643,977,588,608/427,742,107
  6. Step 6: Final answer
    x = 1,965,337,595.29

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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.