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Finding the Third Proportional to 9,966,386.81 and 15,613,878.94

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Solution

The third proportional to 9,966,386.81 and 15,613,878.94 is: 24,461,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966,386.81 : 15,613,878.94 = 15,613,878.94 : x
  2. Step 2: Convert to fraction form
    9,966,386.81/15,613,878.94 = 15,613,878.94/x
  3. Step 3: Cross multiply
    9,966,386.81x = 15,613,878.94 × 15,613,878.94
  4. Step 4: Simplify right side
    9,966,386.81x = 243,793,215,474,906.12
  5. Step 5: Solve for x
    x = 243,793,215,474,906.12/9,966,386.81
  6. Step 6: Final answer
    x = 24,461,544.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.