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Finding the Third Proportional to 66,335,125 and 143,535,914

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Solution

The third proportional to 66,335,125 and 143,535,914 is: 310,582,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,335,125 : 143,535,914 = 143,535,914 : x
  2. Step 2: Convert to fraction form
    66,335,125/143,535,914 = 143,535,914/x
  3. Step 3: Cross multiply
    66,335,125x = 143,535,914 × 143,535,914
  4. Step 4: Simplify right side
    66,335,125x = 20,602,558,607,815,396
  5. Step 5: Solve for x
    x = 20,602,558,607,815,396/66,335,125
  6. Step 6: Final answer
    x = 310,582,946.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.