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Finding the Third Proportional to 9,050,585,062 and 19,484,381,257

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Solution

The third proportional to 9,050,585,062 and 19,484,381,257 is: 41,946,582,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050,585,062 : 19,484,381,257 = 19,484,381,257 : x
  2. Step 2: Convert to fraction form
    9,050,585,062/19,484,381,257 = 19,484,381,257/x
  3. Step 3: Cross multiply
    9,050,585,062x = 19,484,381,257 × 19,484,381,257
  4. Step 4: Simplify right side
    9,050,585,062x = 379,641,112,968,132,886,528
  5. Step 5: Solve for x
    x = 379,641,112,968,132,886,528/9,050,585,062
  6. Step 6: Final answer
    x = 41,946,582,499.08

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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.