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Finding the Third Proportional to 415,905,651 and 901,163,817

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Solution

The third proportional to 415,905,651 and 901,163,817 is: 1,952,597,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,905,651 : 901,163,817 = 901,163,817 : x
  2. Step 2: Convert to fraction form
    415,905,651/901,163,817 = 901,163,817/x
  3. Step 3: Cross multiply
    415,905,651x = 901,163,817 × 901,163,817
  4. Step 4: Simplify right side
    415,905,651x = 812,096,225,070,009,472
  5. Step 5: Solve for x
    x = 812,096,225,070,009,472/415,905,651
  6. Step 6: Final answer
    x = 1,952,597,237.18

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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.