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Finding the Third Proportional to 865,048,306 and 1,791,414,260

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Solution

The third proportional to 865,048,306 and 1,791,414,260 is: 3,709,810,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,048,306 : 1,791,414,260 = 1,791,414,260 : x
  2. Step 2: Convert to fraction form
    865,048,306/1,791,414,260 = 1,791,414,260/x
  3. Step 3: Cross multiply
    865,048,306x = 1,791,414,260 × 1,791,414,260
  4. Step 4: Simplify right side
    865,048,306x = 3,209,165,050,931,347,456
  5. Step 5: Solve for x
    x = 3,209,165,050,931,347,456/865,048,306
  6. Step 6: Final answer
    x = 3,709,810,225.25

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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.