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Finding the Third Proportional to 48,048,994 and 74,462,302.50

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Solution

The third proportional to 48,048,994 and 74,462,302.50 is: 115,395,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048,994 : 74,462,302.50 = 74,462,302.50 : x
  2. Step 2: Convert to fraction form
    48,048,994/74,462,302.50 = 74,462,302.50/x
  3. Step 3: Cross multiply
    48,048,994x = 74,462,302.50 × 74,462,302.50
  4. Step 4: Simplify right side
    48,048,994x = 5,544,634,493,601,506
  5. Step 5: Solve for x
    x = 5,544,634,493,601,506/48,048,994
  6. Step 6: Final answer
    x = 115,395,433.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.