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Finding the Third Proportional to 4,583,688 and 9,713,790

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Solution

The third proportional to 4,583,688 and 9,713,790 is: 20,585,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583,688 : 9,713,790 = 9,713,790 : x
  2. Step 2: Convert to fraction form
    4,583,688/9,713,790 = 9,713,790/x
  3. Step 3: Cross multiply
    4,583,688x = 9,713,790 × 9,713,790
  4. Step 4: Simplify right side
    4,583,688x = 94,357,716,164,100
  5. Step 5: Solve for x
    x = 94,357,716,164,100/4,583,688
  6. Step 6: Final answer
    x = 20,585,545.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.