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Finding the Third Proportional to 57,523,210 and 77,742,878

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Solution

The third proportional to 57,523,210 and 77,742,878 is: 105,069,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,523,210 : 77,742,878 = 77,742,878 : x
  2. Step 2: Convert to fraction form
    57,523,210/77,742,878 = 77,742,878/x
  3. Step 3: Cross multiply
    57,523,210x = 77,742,878 × 77,742,878
  4. Step 4: Simplify right side
    57,523,210x = 6,043,955,079,722,884
  5. Step 5: Solve for x
    x = 6,043,955,079,722,884/57,523,210
  6. Step 6: Final answer
    x = 105,069,850.58

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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.