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Finding the Third Proportional to 10,678,695.75 and 22,114,427.63

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Solution

The third proportional to 10,678,695.75 and 22,114,427.63 is: 45,796,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678,695.75 : 22,114,427.63 = 22,114,427.63 : x
  2. Step 2: Convert to fraction form
    10,678,695.75/22,114,427.63 = 22,114,427.63/x
  3. Step 3: Cross multiply
    10,678,695.75x = 22,114,427.63 × 22,114,427.63
  4. Step 4: Simplify right side
    10,678,695.75x = 489,047,909,181,363.12
  5. Step 5: Solve for x
    x = 489,047,909,181,363.12/10,678,695.75
  6. Step 6: Final answer
    x = 45,796,595.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.