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Finding the Third Proportional to 478,930,814 and 1,032,617,661.50

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Solution

The third proportional to 478,930,814 and 1,032,617,661.50 is: 2,226,416,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,930,814 : 1,032,617,661.50 = 1,032,617,661.50 : x
  2. Step 2: Convert to fraction form
    478,930,814/1,032,617,661.50 = 1,032,617,661.50/x
  3. Step 3: Cross multiply
    478,930,814x = 1,032,617,661.50 × 1,032,617,661.50
  4. Step 4: Simplify right side
    478,930,814x = 1,066,299,234,841,728,640
  5. Step 5: Solve for x
    x = 1,066,299,234,841,728,640/478,930,814
  6. Step 6: Final answer
    x = 2,226,416,015.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.