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Finding the Third Proportional to 57,562,710 and 117,437,686.50

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Solution

The third proportional to 57,562,710 and 117,437,686.50 is: 239,592,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,562,710 : 117,437,686.50 = 117,437,686.50 : x
  2. Step 2: Convert to fraction form
    57,562,710/117,437,686.50 = 117,437,686.50/x
  3. Step 3: Cross multiply
    57,562,710x = 117,437,686.50 × 117,437,686.50
  4. Step 4: Simplify right side
    57,562,710x = 13,791,610,210,472,282
  5. Step 5: Solve for x
    x = 13,791,610,210,472,282/57,562,710
  6. Step 6: Final answer
    x = 239,592,788.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.