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Finding the Third Proportional to 602,497,815.75 and 931,011,900.75

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Solution

The third proportional to 602,497,815.75 and 931,011,900.75 is: 1,438,649,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,497,815.75 : 931,011,900.75 = 931,011,900.75 : x
  2. Step 2: Convert to fraction form
    602,497,815.75/931,011,900.75 = 931,011,900.75/x
  3. Step 3: Cross multiply
    602,497,815.75x = 931,011,900.75 × 931,011,900.75
  4. Step 4: Simplify right side
    602,497,815.75x = 866,783,159,338,127,872
  5. Step 5: Solve for x
    x = 866,783,159,338,127,872/602,497,815.75
  6. Step 6: Final answer
    x = 1,438,649,463.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.