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Finding the Third Proportional to 340,657,029 and 510,418,827

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Solution

The third proportional to 340,657,029 and 510,418,827 is: 764,779,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,657,029 : 510,418,827 = 510,418,827 : x
  2. Step 2: Convert to fraction form
    340,657,029/510,418,827 = 510,418,827/x
  3. Step 3: Cross multiply
    340,657,029x = 510,418,827 × 510,418,827
  4. Step 4: Simplify right side
    340,657,029x = 260,527,378,956,055,936
  5. Step 5: Solve for x
    x = 260,527,378,956,055,936/340,657,029
  6. Step 6: Final answer
    x = 764,779,108.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.