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Finding the Third Proportional to 35,985,627.50 and 78,360,534.50

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Solution

The third proportional to 35,985,627.50 and 78,360,534.50 is: 170,634,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985,627.50 : 78,360,534.50 = 78,360,534.50 : x
  2. Step 2: Convert to fraction form
    35,985,627.50/78,360,534.50 = 78,360,534.50/x
  3. Step 3: Cross multiply
    35,985,627.50x = 78,360,534.50 × 78,360,534.50
  4. Step 4: Simplify right side
    35,985,627.50x = 6,140,373,367,125,690
  5. Step 5: Solve for x
    x = 6,140,373,367,125,690/35,985,627.50
  6. Step 6: Final answer
    x = 170,634,050.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.