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Finding the Third Proportional to 478,930,813 and 1,032,617,659.50

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Solution

The third proportional to 478,930,813 and 1,032,617,659.50 is: 2,226,416,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,930,813 : 1,032,617,659.50 = 1,032,617,659.50 : x
  2. Step 2: Convert to fraction form
    478,930,813/1,032,617,659.50 = 1,032,617,659.50/x
  3. Step 3: Cross multiply
    478,930,813x = 1,032,617,659.50 × 1,032,617,659.50
  4. Step 4: Simplify right side
    478,930,813x = 1,066,299,230,711,257,984
  5. Step 5: Solve for x
    x = 1,066,299,230,711,257,984/478,930,813
  6. Step 6: Final answer
    x = 2,226,416,012.02

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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.