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Finding the Third Proportional to 597,016,140 and 1,291,823,256

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Solution

The third proportional to 597,016,140 and 1,291,823,256 is: 2,795,246,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,016,140 : 1,291,823,256 = 1,291,823,256 : x
  2. Step 2: Convert to fraction form
    597,016,140/1,291,823,256 = 1,291,823,256/x
  3. Step 3: Cross multiply
    597,016,140x = 1,291,823,256 × 1,291,823,256
  4. Step 4: Simplify right side
    597,016,140x = 1,668,807,324,742,441,472
  5. Step 5: Solve for x
    x = 1,668,807,324,742,441,472/597,016,140
  6. Step 6: Final answer
    x = 2,795,246,582.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.