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Finding the Third Proportional to 563,622,848 and 1,165,908,029

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Solution

The third proportional to 563,622,848 and 1,165,908,029 is: 2,411,792,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,622,848 : 1,165,908,029 = 1,165,908,029 : x
  2. Step 2: Convert to fraction form
    563,622,848/1,165,908,029 = 1,165,908,029/x
  3. Step 3: Cross multiply
    563,622,848x = 1,165,908,029 × 1,165,908,029
  4. Step 4: Simplify right side
    563,622,848x = 1,359,341,532,086,664,960
  5. Step 5: Solve for x
    x = 1,359,341,532,086,664,960/563,622,848
  6. Step 6: Final answer
    x = 2,411,792,809.52

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.