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Finding the Third Proportional to 48,048,998 and 74,462,308

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Solution

The third proportional to 48,048,998 and 74,462,308 is: 115,395,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048,998 : 74,462,308 = 74,462,308 : x
  2. Step 2: Convert to fraction form
    48,048,998/74,462,308 = 74,462,308/x
  3. Step 3: Cross multiply
    48,048,998x = 74,462,308 × 74,462,308
  4. Step 4: Simplify right side
    48,048,998x = 5,544,635,312,686,864
  5. Step 5: Solve for x
    x = 5,544,635,312,686,864/48,048,998
  6. Step 6: Final answer
    x = 115,395,440.98

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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.