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Finding the Third Proportional to 364,316,952 and 532,811,896.50

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Solution

The third proportional to 364,316,952 and 532,811,896.50 is: 779,234,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,316,952 : 532,811,896.50 = 532,811,896.50 : x
  2. Step 2: Convert to fraction form
    364,316,952/532,811,896.50 = 532,811,896.50/x
  3. Step 3: Cross multiply
    364,316,952x = 532,811,896.50 × 532,811,896.50
  4. Step 4: Simplify right side
    364,316,952x = 283,888,517,051,926,720
  5. Step 5: Solve for x
    x = 283,888,517,051,926,720/364,316,952
  6. Step 6: Final answer
    x = 779,234,991.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.