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Finding the Third Proportional to 64,818,729 and 100,333,468.50

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Solution

The third proportional to 64,818,729 and 100,333,468.50 is: 155,307,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,818,729 : 100,333,468.50 = 100,333,468.50 : x
  2. Step 2: Convert to fraction form
    64,818,729/100,333,468.50 = 100,333,468.50/x
  3. Step 3: Cross multiply
    64,818,729x = 100,333,468.50 × 100,333,468.50
  4. Step 4: Simplify right side
    64,818,729x = 10,066,804,901,240,492
  5. Step 5: Solve for x
    x = 10,066,804,901,240,492/64,818,729
  6. Step 6: Final answer
    x = 155,307,039.44

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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.