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Finding the Third Proportional to 769,501,346 and 1,614,585,410

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Solution

The third proportional to 769,501,346 and 1,614,585,410 is: 3,387,760,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,501,346 : 1,614,585,410 = 1,614,585,410 : x
  2. Step 2: Convert to fraction form
    769,501,346/1,614,585,410 = 1,614,585,410/x
  3. Step 3: Cross multiply
    769,501,346x = 1,614,585,410 × 1,614,585,410
  4. Step 4: Simplify right side
    769,501,346x = 2,606,886,046,184,868,352
  5. Step 5: Solve for x
    x = 2,606,886,046,184,868,352/769,501,346
  6. Step 6: Final answer
    x = 3,387,760,216.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.