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Finding the Third Proportional to 9,050,585,070 and 19,484,381,277

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Solution

The third proportional to 9,050,585,070 and 19,484,381,277 is: 41,946,582,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050,585,070 : 19,484,381,277 = 19,484,381,277 : x
  2. Step 2: Convert to fraction form
    9,050,585,070/19,484,381,277 = 19,484,381,277/x
  3. Step 3: Cross multiply
    9,050,585,070x = 19,484,381,277 × 19,484,381,277
  4. Step 4: Simplify right side
    9,050,585,070x = 379,641,113,747,508,166,656
  5. Step 5: Solve for x
    x = 379,641,113,747,508,166,656/9,050,585,070
  6. Step 6: Final answer
    x = 41,946,582,548.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.