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Finding the Third Proportional to 563,622,859 and 1,165,908,051

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Solution

The third proportional to 563,622,859 and 1,165,908,051 is: 2,411,792,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,622,859 : 1,165,908,051 = 1,165,908,051 : x
  2. Step 2: Convert to fraction form
    563,622,859/1,165,908,051 = 1,165,908,051/x
  3. Step 3: Cross multiply
    563,622,859x = 1,165,908,051 × 1,165,908,051
  4. Step 4: Simplify right side
    563,622,859x = 1,359,341,583,386,618,624
  5. Step 5: Solve for x
    x = 1,359,341,583,386,618,624/563,622,859
  6. Step 6: Final answer
    x = 2,411,792,853.47

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Why These Related Problems?

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