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Finding the Third Proportional to 370,254,510 and 771,154,762.50

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Solution

The third proportional to 370,254,510 and 771,154,762.50 is: 1,606,137,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,254,510 : 771,154,762.50 = 771,154,762.50 : x
  2. Step 2: Convert to fraction form
    370,254,510/771,154,762.50 = 771,154,762.50/x
  3. Step 3: Cross multiply
    370,254,510x = 771,154,762.50 × 771,154,762.50
  4. Step 4: Simplify right side
    370,254,510x = 594,679,667,726,431,360
  5. Step 5: Solve for x
    x = 594,679,667,726,431,360/370,254,510
  6. Step 6: Final answer
    x = 1,606,137,539.62

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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.