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Finding the Third Proportional to 3,130,535,228 and 6,823,566,308

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Solution

The third proportional to 3,130,535,228 and 6,823,566,308 is: 14,873,193,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,535,228 : 6,823,566,308 = 6,823,566,308 : x
  2. Step 2: Convert to fraction form
    3,130,535,228/6,823,566,308 = 6,823,566,308/x
  3. Step 3: Cross multiply
    3,130,535,228x = 6,823,566,308 × 6,823,566,308
  4. Step 4: Simplify right side
    3,130,535,228x = 46,561,057,159,672,750,080
  5. Step 5: Solve for x
    x = 46,561,057,159,672,750,080/3,130,535,228
  6. Step 6: Final answer
    x = 14,873,193,805.08

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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.