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Finding the Third Proportional to 943,338,582 and 2,043,891,113.63

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Solution

The third proportional to 943,338,582 and 2,043,891,113.63 is: 4,428,410,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,338,582 : 2,043,891,113.63 = 2,043,891,113.63 : x
  2. Step 2: Convert to fraction form
    943,338,582/2,043,891,113.63 = 2,043,891,113.63/x
  3. Step 3: Cross multiply
    943,338,582x = 2,043,891,113.63 × 2,043,891,113.63
  4. Step 4: Simplify right side
    943,338,582x = 4,177,490,884,355,242,496
  5. Step 5: Solve for x
    x = 4,177,490,884,355,242,496/943,338,582
  6. Step 6: Final answer
    x = 4,428,410,926.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.