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Finding the Third Proportional to 21,411,286,674 and 46,380,466,596

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Solution

The third proportional to 21,411,286,674 and 46,380,466,596 is: 100,467,931,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411,286,674 : 46,380,466,596 = 46,380,466,596 : x
  2. Step 2: Convert to fraction form
    21,411,286,674/46,380,466,596 = 46,380,466,596/x
  3. Step 3: Cross multiply
    21,411,286,674x = 46,380,466,596 × 46,380,466,596
  4. Step 4: Simplify right side
    21,411,286,674x = 2,151,147,681,662,671,781,888
  5. Step 5: Solve for x
    x = 2,151,147,681,662,671,781,888/21,411,286,674
  6. Step 6: Final answer
    x = 100,467,931,442.67

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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.