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Finding the Third Proportional to 779,907,851,606 and 1,698,272,358,268

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Solution

The third proportional to 779,907,851,606 and 1,698,272,358,268 is: 3,698,038,168,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,907,851,606 : 1,698,272,358,268 = 1,698,272,358,268 : x
  2. Step 2: Convert to fraction form
    779,907,851,606/1,698,272,358,268 = 1,698,272,358,268/x
  3. Step 3: Cross multiply
    779,907,851,606x = 1,698,272,358,268 × 1,698,272,358,268
  4. Step 4: Simplify right side
    779,907,851,606x = 2,884,129,002,857,154,048,163,840
  5. Step 5: Solve for x
    x = 2,884,129,002,857,154,048,163,840/779,907,851,606
  6. Step 6: Final answer
    x = 3,698,038,168,122.18

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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.