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Finding the Third Proportional to 1,705,326,608 and 3,710,940,084

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Solution

The third proportional to 1,705,326,608 and 3,710,940,084 is: 8,075,330,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,326,608 : 3,710,940,084 = 3,710,940,084 : x
  2. Step 2: Convert to fraction form
    1,705,326,608/3,710,940,084 = 3,710,940,084/x
  3. Step 3: Cross multiply
    1,705,326,608x = 3,710,940,084 × 3,710,940,084
  4. Step 4: Simplify right side
    1,705,326,608x = 13,771,076,307,037,927,424
  5. Step 5: Solve for x
    x = 13,771,076,307,037,927,424/1,705,326,608
  6. Step 6: Final answer
    x = 8,075,330,697.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.