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Finding the Third Proportional to 7,266,150,584 and 15,907,905,808

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Solution

The third proportional to 7,266,150,584 and 15,907,905,808 is: 34,827,446,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266,150,584 : 15,907,905,808 = 15,907,905,808 : x
  2. Step 2: Convert to fraction form
    7,266,150,584/15,907,905,808 = 15,907,905,808/x
  3. Step 3: Cross multiply
    7,266,150,584x = 15,907,905,808 × 15,907,905,808
  4. Step 4: Simplify right side
    7,266,150,584x = 253,061,467,196,200,124,416
  5. Step 5: Solve for x
    x = 253,061,467,196,200,124,416/7,266,150,584
  6. Step 6: Final answer
    x = 34,827,446,014.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.