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Finding the Third Proportional to 1,358,375,618,448 and 2,907,570,731,040

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Solution

The third proportional to 1,358,375,618,448 and 2,907,570,731,040 is: 6,223,586,054,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,375,618,448 : 2,907,570,731,040 = 2,907,570,731,040 : x
  2. Step 2: Convert to fraction form
    1,358,375,618,448/2,907,570,731,040 = 2,907,570,731,040/x
  3. Step 3: Cross multiply
    1,358,375,618,448x = 2,907,570,731,040 × 2,907,570,731,040
  4. Step 4: Simplify right side
    1,358,375,618,448x = 8,453,967,556,000,480,449,527,808
  5. Step 5: Solve for x
    x = 8,453,967,556,000,480,449,527,808/1,358,375,618,448
  6. Step 6: Final answer
    x = 6,223,586,054,687.50

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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.