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Finding the Third Proportional to 397,688,102 and 864,214,421

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Solution

The third proportional to 397,688,102 and 864,214,421 is: 1,878,020,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,688,102 : 864,214,421 = 864,214,421 : x
  2. Step 2: Convert to fraction form
    397,688,102/864,214,421 = 864,214,421/x
  3. Step 3: Cross multiply
    397,688,102x = 864,214,421 × 864,214,421
  4. Step 4: Simplify right side
    397,688,102x = 746,866,565,464,365,184
  5. Step 5: Solve for x
    x = 746,866,565,464,365,184/397,688,102
  6. Step 6: Final answer
    x = 1,878,020,895.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.