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Finding the Third Proportional to 402,159,994 and 614,936,797.50

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Solution

The third proportional to 402,159,994 and 614,936,797.50 is: 940,290,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,159,994 : 614,936,797.50 = 614,936,797.50 : x
  2. Step 2: Convert to fraction form
    402,159,994/614,936,797.50 = 614,936,797.50/x
  3. Step 3: Cross multiply
    402,159,994x = 614,936,797.50 × 614,936,797.50
  4. Step 4: Simplify right side
    402,159,994x = 378,147,264,919,556,032
  5. Step 5: Solve for x
    x = 378,147,264,919,556,032/402,159,994
  6. Step 6: Final answer
    x = 940,290,607.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.