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Finding the Third Proportional to 779,907,851,610 and 1,698,272,358,276

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Solution

The third proportional to 779,907,851,610 and 1,698,272,358,276 is: 3,698,038,168,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,907,851,610 : 1,698,272,358,276 = 1,698,272,358,276 : x
  2. Step 2: Convert to fraction form
    779,907,851,610/1,698,272,358,276 = 1,698,272,358,276/x
  3. Step 3: Cross multiply
    779,907,851,610x = 1,698,272,358,276 × 1,698,272,358,276
  4. Step 4: Simplify right side
    779,907,851,610x = 2,884,129,002,884,326,695,632,896
  5. Step 5: Solve for x
    x = 2,884,129,002,884,326,695,632,896/779,907,851,610
  6. Step 6: Final answer
    x = 3,698,038,168,138.05

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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.