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Finding the Third Proportional to 2,046,912,566 and 2,925,085,482

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Solution

The third proportional to 2,046,912,566 and 2,925,085,482 is: 4,180,014,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,912,566 : 2,925,085,482 = 2,925,085,482 : x
  2. Step 2: Convert to fraction form
    2,046,912,566/2,925,085,482 = 2,925,085,482/x
  3. Step 3: Cross multiply
    2,046,912,566x = 2,925,085,482 × 2,925,085,482
  4. Step 4: Simplify right side
    2,046,912,566x = 8,556,125,077,007,172,608
  5. Step 5: Solve for x
    x = 8,556,125,077,007,172,608/2,046,912,566
  6. Step 6: Final answer
    x = 4,180,014,925.47

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.