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Finding the Third Proportional to 364,316,945 and 532,811,887

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Solution

The third proportional to 364,316,945 and 532,811,887 is: 779,234,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,316,945 : 532,811,887 = 532,811,887 : x
  2. Step 2: Convert to fraction form
    364,316,945/532,811,887 = 532,811,887/x
  3. Step 3: Cross multiply
    364,316,945x = 532,811,887 × 532,811,887
  4. Step 4: Simplify right side
    364,316,945x = 283,888,506,928,500,768
  5. Step 5: Solve for x
    x = 283,888,506,928,500,768/364,316,945
  6. Step 6: Final answer
    x = 779,234,978.84

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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.