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Finding the Third Proportional to 900,054,900 and 1,352,478,732

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Solution

The third proportional to 900,054,900 and 1,352,478,732 is: 2,032,319,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,054,900 : 1,352,478,732 = 1,352,478,732 : x
  2. Step 2: Convert to fraction form
    900,054,900/1,352,478,732 = 1,352,478,732/x
  3. Step 3: Cross multiply
    900,054,900x = 1,352,478,732 × 1,352,478,732
  4. Step 4: Simplify right side
    900,054,900x = 1,829,198,720,512,327,936
  5. Step 5: Solve for x
    x = 1,829,198,720,512,327,936/900,054,900
  6. Step 6: Final answer
    x = 2,032,319,051.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.