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Finding the Third Proportional to 78,376,640 and 109,622,804

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Solution

The third proportional to 78,376,640 and 109,622,804 is: 153,325,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376,640 : 109,622,804 = 109,622,804 : x
  2. Step 2: Convert to fraction form
    78,376,640/109,622,804 = 109,622,804/x
  3. Step 3: Cross multiply
    78,376,640x = 109,622,804 × 109,622,804
  4. Step 4: Simplify right side
    78,376,640x = 12,017,159,156,822,416
  5. Step 5: Solve for x
    x = 12,017,159,156,822,416/78,376,640
  6. Step 6: Final answer
    x = 153,325,776.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.