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Finding the Third Proportional to 534,295,855.13 and 817,333,431.19

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Solution

The third proportional to 534,295,855.13 and 817,333,431.19 is: 1,250,307,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,295,855.13 : 817,333,431.19 = 817,333,431.19 : x
  2. Step 2: Convert to fraction form
    534,295,855.13/817,333,431.19 = 817,333,431.19/x
  3. Step 3: Cross multiply
    534,295,855.13x = 817,333,431.19 × 817,333,431.19
  4. Step 4: Simplify right side
    534,295,855.13x = 668,033,937,736,731,776
  5. Step 5: Solve for x
    x = 668,033,937,736,731,776/534,295,855.13
  6. Step 6: Final answer
    x = 1,250,307,168.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.