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Finding the Third Proportional to 57,523,220.50 and 77,742,893.50

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Solution

The third proportional to 57,523,220.50 and 77,742,893.50 is: 105,069,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,523,220.50 : 77,742,893.50 = 77,742,893.50 : x
  2. Step 2: Convert to fraction form
    57,523,220.50/77,742,893.50 = 77,742,893.50/x
  3. Step 3: Cross multiply
    57,523,220.50x = 77,742,893.50 × 77,742,893.50
  4. Step 4: Simplify right side
    57,523,220.50x = 6,043,957,489,752,342
  5. Step 5: Solve for x
    x = 6,043,957,489,752,342/57,523,220.50
  6. Step 6: Final answer
    x = 105,069,873.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.