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Finding the Third Proportional to 1,705,326,606 and 3,710,940,080

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Solution

The third proportional to 1,705,326,606 and 3,710,940,080 is: 8,075,330,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,326,606 : 3,710,940,080 = 3,710,940,080 : x
  2. Step 2: Convert to fraction form
    1,705,326,606/3,710,940,080 = 3,710,940,080/x
  3. Step 3: Cross multiply
    1,705,326,606x = 3,710,940,080 × 3,710,940,080
  4. Step 4: Simplify right side
    1,705,326,606x = 13,771,076,277,350,406,144
  5. Step 5: Solve for x
    x = 13,771,076,277,350,406,144/1,705,326,606
  6. Step 6: Final answer
    x = 8,075,330,689.67

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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.