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Finding the Third Proportional to 3,698,603,281,178 and 5,658,448,888,180

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Solution

The third proportional to 3,698,603,281,178 and 5,658,448,888,180 is: 8,656,793,223,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698,603,281,178 : 5,658,448,888,180 = 5,658,448,888,180 : x
  2. Step 2: Convert to fraction form
    3,698,603,281,178/5,658,448,888,180 = 5,658,448,888,180/x
  3. Step 3: Cross multiply
    3,698,603,281,178x = 5,658,448,888,180 × 5,658,448,888,180
  4. Step 4: Simplify right side
    3,698,603,281,178x = 32,018,043,820,145,476,164,911,104
  5. Step 5: Solve for x
    x = 32,018,043,820,145,476,164,911,104/3,698,603,281,178
  6. Step 6: Final answer
    x = 8,656,793,223,291.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.