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Finding the Third Proportional to 912,448,021 and 1,873,267,217

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Solution

The third proportional to 912,448,021 and 1,873,267,217 is: 3,845,841,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,448,021 : 1,873,267,217 = 1,873,267,217 : x
  2. Step 2: Convert to fraction form
    912,448,021/1,873,267,217 = 1,873,267,217/x
  3. Step 3: Cross multiply
    912,448,021x = 1,873,267,217 × 1,873,267,217
  4. Step 4: Simplify right side
    912,448,021x = 3,509,130,066,286,925,312
  5. Step 5: Solve for x
    x = 3,509,130,066,286,925,312/912,448,021
  6. Step 6: Final answer
    x = 3,845,841,062.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.