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Finding the Third Proportional to 1,405,809,768 and 2,927,977,575

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Solution

The third proportional to 1,405,809,768 and 2,927,977,575 is: 6,098,302,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,809,768 : 2,927,977,575 = 2,927,977,575 : x
  2. Step 2: Convert to fraction form
    1,405,809,768/2,927,977,575 = 2,927,977,575/x
  3. Step 3: Cross multiply
    1,405,809,768x = 2,927,977,575 × 2,927,977,575
  4. Step 4: Simplify right side
    1,405,809,768x = 8,573,052,679,702,880,256
  5. Step 5: Solve for x
    x = 8,573,052,679,702,880,256/1,405,809,768
  6. Step 6: Final answer
    x = 6,098,302,113.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.