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Finding the Third Proportional to 9,830,580 and 15,263,454

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Solution

The third proportional to 9,830,580 and 15,263,454 is: 23,698,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,580 : 15,263,454 = 15,263,454 : x
  2. Step 2: Convert to fraction form
    9,830,580/15,263,454 = 15,263,454/x
  3. Step 3: Cross multiply
    9,830,580x = 15,263,454 × 15,263,454
  4. Step 4: Simplify right side
    9,830,580x = 232,973,028,010,116
  5. Step 5: Solve for x
    x = 232,973,028,010,116/9,830,580
  6. Step 6: Final answer
    x = 23,698,808.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.