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Finding the Third Proportional to 6,242,821,404 and 9,019,798,867.50

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Solution

The third proportional to 6,242,821,404 and 9,019,798,867.50 is: 13,032,051,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242,821,404 : 9,019,798,867.50 = 9,019,798,867.50 : x
  2. Step 2: Convert to fraction form
    6,242,821,404/9,019,798,867.50 = 9,019,798,867.50/x
  3. Step 3: Cross multiply
    6,242,821,404x = 9,019,798,867.50 × 9,019,798,867.50
  4. Step 4: Simplify right side
    6,242,821,404x = 81,356,771,610,154,287,104
  5. Step 5: Solve for x
    x = 81,356,771,610,154,287,104/6,242,821,404
  6. Step 6: Final answer
    x = 13,032,051,751.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.