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Finding the Third Proportional to 255,129,447,627.50 and 546,649,627,000.50

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Solution

The third proportional to 255,129,447,627.50 and 546,649,627,000.50 is: 1,171,271,358,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,129,447,627.50 : 546,649,627,000.50 = 546,649,627,000.50 : x
  2. Step 2: Convert to fraction form
    255,129,447,627.50/546,649,627,000.50 = 546,649,627,000.50/x
  3. Step 3: Cross multiply
    255,129,447,627.50x = 546,649,627,000.50 × 546,649,627,000.50
  4. Step 4: Simplify right side
    255,129,447,627.50x = 298,825,814,699,785,788,063,744
  5. Step 5: Solve for x
    x = 298,825,814,699,785,788,063,744/255,129,447,627.50
  6. Step 6: Final answer
    x = 1,171,271,358,436.38

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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.