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Finding the Third Proportional to 57,523,218 and 77,742,890

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Solution

The third proportional to 57,523,218 and 77,742,890 is: 105,069,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,523,218 : 77,742,890 = 77,742,890 : x
  2. Step 2: Convert to fraction form
    57,523,218/77,742,890 = 77,742,890/x
  3. Step 3: Cross multiply
    57,523,218x = 77,742,890 × 77,742,890
  4. Step 4: Simplify right side
    57,523,218x = 6,043,956,945,552,100
  5. Step 5: Solve for x
    x = 6,043,956,945,552,100/57,523,218
  6. Step 6: Final answer
    x = 105,069,868.41

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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.