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Finding the Third Proportional to 427,742,104 and 916,873,838

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Solution

The third proportional to 427,742,104 and 916,873,838 is: 1,965,337,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,742,104 : 916,873,838 = 916,873,838 : x
  2. Step 2: Convert to fraction form
    427,742,104/916,873,838 = 916,873,838/x
  3. Step 3: Cross multiply
    427,742,104x = 916,873,838 × 916,873,838
  4. Step 4: Simplify right side
    427,742,104x = 840,657,634,808,850,304
  5. Step 5: Solve for x
    x = 840,657,634,808,850,304/427,742,104
  6. Step 6: Final answer
    x = 1,965,337,587.64

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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.