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Finding the Third Proportional to 798,103,245 and 1,864,729,299

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Solution

The third proportional to 798,103,245 and 1,864,729,299 is: 4,356,849,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,103,245 : 1,864,729,299 = 1,864,729,299 : x
  2. Step 2: Convert to fraction form
    798,103,245/1,864,729,299 = 1,864,729,299/x
  3. Step 3: Cross multiply
    798,103,245x = 1,864,729,299 × 1,864,729,299
  4. Step 4: Simplify right side
    798,103,245x = 3,477,215,358,549,031,424
  5. Step 5: Solve for x
    x = 3,477,215,358,549,031,424/798,103,245
  6. Step 6: Final answer
    x = 4,356,849,042.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.