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Finding the Third Proportional to 4,583,769 and 9,713,943

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Solution

The third proportional to 4,583,769 and 9,713,943 is: 20,585,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583,769 : 9,713,943 = 9,713,943 : x
  2. Step 2: Convert to fraction form
    4,583,769/9,713,943 = 9,713,943/x
  3. Step 3: Cross multiply
    4,583,769x = 9,713,943 × 9,713,943
  4. Step 4: Simplify right side
    4,583,769x = 94,360,688,607,249
  5. Step 5: Solve for x
    x = 94,360,688,607,249/4,583,769
  6. Step 6: Final answer
    x = 20,585,829.83

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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.