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Finding the Third Proportional to 9,477,016 and 13,506,660

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Solution

The third proportional to 9,477,016 and 13,506,660 is: 19,249,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477,016 : 13,506,660 = 13,506,660 : x
  2. Step 2: Convert to fraction form
    9,477,016/13,506,660 = 13,506,660/x
  3. Step 3: Cross multiply
    9,477,016x = 13,506,660 × 13,506,660
  4. Step 4: Simplify right side
    9,477,016x = 182,429,864,355,600
  5. Step 5: Solve for x
    x = 182,429,864,355,600/9,477,016
  6. Step 6: Final answer
    x = 19,249,715.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.