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Finding the Third Proportional to 10,092,795.75 and 21,506,775.75

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Solution

The third proportional to 10,092,795.75 and 21,506,775.75 is: 45,828,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092,795.75 : 21,506,775.75 = 21,506,775.75 : x
  2. Step 2: Convert to fraction form
    10,092,795.75/21,506,775.75 = 21,506,775.75/x
  3. Step 3: Cross multiply
    10,092,795.75x = 21,506,775.75 × 21,506,775.75
  4. Step 4: Simplify right side
    10,092,795.75x = 462,541,403,160,788.06
  5. Step 5: Solve for x
    x = 462,541,403,160,788.06/10,092,795.75
  6. Step 6: Final answer
    x = 45,828,867.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.