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Finding the Third Proportional to 1,445,518,768 and 1,950,344,192

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Solution

The third proportional to 1,445,518,768 and 1,950,344,192 is: 2,631,472,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445,518,768 : 1,950,344,192 = 1,950,344,192 : x
  2. Step 2: Convert to fraction form
    1,445,518,768/1,950,344,192 = 1,950,344,192/x
  3. Step 3: Cross multiply
    1,445,518,768x = 1,950,344,192 × 1,950,344,192
  4. Step 4: Simplify right side
    1,445,518,768x = 3,803,842,467,268,132,864
  5. Step 5: Solve for x
    x = 3,803,842,467,268,132,864/1,445,518,768
  6. Step 6: Final answer
    x = 2,631,472,210.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.