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Finding the Third Proportional to 478,930,812 and 1,032,617,657.50

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Solution

The third proportional to 478,930,812 and 1,032,617,657.50 is: 2,226,416,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,930,812 : 1,032,617,657.50 = 1,032,617,657.50 : x
  2. Step 2: Convert to fraction form
    478,930,812/1,032,617,657.50 = 1,032,617,657.50/x
  3. Step 3: Cross multiply
    478,930,812x = 1,032,617,657.50 × 1,032,617,657.50
  4. Step 4: Simplify right side
    478,930,812x = 1,066,299,226,580,787,328
  5. Step 5: Solve for x
    x = 1,066,299,226,580,787,328/478,930,812
  6. Step 6: Final answer
    x = 2,226,416,008.04

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Why These Related Problems?

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