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Finding the Third Proportional to 9,133,830 and 19,875,575.81

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Solution

The third proportional to 9,133,830 and 19,875,575.81 is: 43,250,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133,830 : 19,875,575.81 = 19,875,575.81 : x
  2. Step 2: Convert to fraction form
    9,133,830/19,875,575.81 = 19,875,575.81/x
  3. Step 3: Cross multiply
    9,133,830x = 19,875,575.81 × 19,875,575.81
  4. Step 4: Simplify right side
    9,133,830x = 395,038,513,878,435.06
  5. Step 5: Solve for x
    x = 395,038,513,878,435.06/9,133,830
  6. Step 6: Final answer
    x = 43,250,040.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.