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Finding the Third Proportional to 45,437,276 and 97,802,972

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Solution

The third proportional to 45,437,276 and 97,802,972 is: 210,519,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,437,276 : 97,802,972 = 97,802,972 : x
  2. Step 2: Convert to fraction form
    45,437,276/97,802,972 = 97,802,972/x
  3. Step 3: Cross multiply
    45,437,276x = 97,802,972 × 97,802,972
  4. Step 4: Simplify right side
    45,437,276x = 9,565,421,332,032,784
  5. Step 5: Solve for x
    x = 9,565,421,332,032,784/45,437,276
  6. Step 6: Final answer
    x = 210,519,251.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.