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Finding the Third Proportional to 45,733,576,088 and 99,064,895,200

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Solution

The third proportional to 45,733,576,088 and 99,064,895,200 is: 214,587,493,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,733,576,088 : 99,064,895,200 = 99,064,895,200 : x
  2. Step 2: Convert to fraction form
    45,733,576,088/99,064,895,200 = 99,064,895,200/x
  3. Step 3: Cross multiply
    45,733,576,088x = 99,064,895,200 × 99,064,895,200
  4. Step 4: Simplify right side
    45,733,576,088x = 9,813,853,460,986,983,350,272
  5. Step 5: Solve for x
    x = 9,813,853,460,986,983,350,272/45,733,576,088
  6. Step 6: Final answer
    x = 214,587,493,488.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.