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Finding the Third Proportional to 56,695,434,603 and 121,477,698,338

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Solution

The third proportional to 56,695,434,603 and 121,477,698,338 is: 260,282,530,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,695,434,603 : 121,477,698,338 = 121,477,698,338 : x
  2. Step 2: Convert to fraction form
    56,695,434,603/121,477,698,338 = 121,477,698,338/x
  3. Step 3: Cross multiply
    56,695,434,603x = 121,477,698,338 × 121,477,698,338
  4. Step 4: Simplify right side
    56,695,434,603x = 14,756,831,193,498,128,482,304
  5. Step 5: Solve for x
    x = 14,756,831,193,498,128,482,304/56,695,434,603
  6. Step 6: Final answer
    x = 260,282,530,627.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.