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Finding the Third Proportional to 403,812,024,076 and 872,099,054,615

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Solution

The third proportional to 403,812,024,076 and 872,099,054,615 is: 1,883,442,581,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812,024,076 : 872,099,054,615 = 872,099,054,615 : x
  2. Step 2: Convert to fraction form
    403,812,024,076/872,099,054,615 = 872,099,054,615/x
  3. Step 3: Cross multiply
    403,812,024,076x = 872,099,054,615 × 872,099,054,615
  4. Step 4: Simplify right side
    403,812,024,076x = 760,556,761,060,376,733,286,400
  5. Step 5: Solve for x
    x = 760,556,761,060,376,733,286,400/403,812,024,076
  6. Step 6: Final answer
    x = 1,883,442,581,484.98

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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.