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Finding the Third Proportional to 427,742,119 and 916,873,867

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Solution

The third proportional to 427,742,119 and 916,873,867 is: 1,965,337,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,742,119 : 916,873,867 = 916,873,867 : x
  2. Step 2: Convert to fraction form
    427,742,119/916,873,867 = 916,873,867/x
  3. Step 3: Cross multiply
    427,742,119x = 916,873,867 × 916,873,867
  4. Step 4: Simplify right side
    427,742,119x = 840,657,687,987,533,696
  5. Step 5: Solve for x
    x = 840,657,687,987,533,696/427,742,119
  6. Step 6: Final answer
    x = 1,965,337,643.05

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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.