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Finding the Third Proportional to 57,523,216.50 and 77,742,887.50

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Solution

The third proportional to 57,523,216.50 and 77,742,887.50 is: 105,069,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,523,216.50 : 77,742,887.50 = 77,742,887.50 : x
  2. Step 2: Convert to fraction form
    57,523,216.50/77,742,887.50 = 77,742,887.50/x
  3. Step 3: Cross multiply
    57,523,216.50x = 77,742,887.50 × 77,742,887.50
  4. Step 4: Simplify right side
    57,523,216.50x = 6,043,956,556,837,656
  5. Step 5: Solve for x
    x = 6,043,956,556,837,656/57,523,216.50
  6. Step 6: Final answer
    x = 105,069,864.39

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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.