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Finding the Third Proportional to 255,129,447,621.09 and 546,649,626,987.80

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Solution

The third proportional to 255,129,447,621.09 and 546,649,626,987.80 is: 1,171,271,358,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,129,447,621.09 : 546,649,626,987.80 = 546,649,626,987.80 : x
  2. Step 2: Convert to fraction form
    255,129,447,621.09/546,649,626,987.80 = 546,649,626,987.80/x
  3. Step 3: Cross multiply
    255,129,447,621.09x = 546,649,626,987.80 × 546,649,626,987.80
  4. Step 4: Simplify right side
    255,129,447,621.09x = 298,825,814,685,900,863,438,848
  5. Step 5: Solve for x
    x = 298,825,814,685,900,863,438,848/255,129,447,621.09
  6. Step 6: Final answer
    x = 1,171,271,358,411.39

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1.5x scale

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.