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Finding the Third Proportional to 9,476,896 and 13,506,480

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Solution

The third proportional to 9,476,896 and 13,506,480 is: 19,249,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,896 : 13,506,480 = 13,506,480 : x
  2. Step 2: Convert to fraction form
    9,476,896/13,506,480 = 13,506,480/x
  3. Step 3: Cross multiply
    9,476,896x = 13,506,480 × 13,506,480
  4. Step 4: Simplify right side
    9,476,896x = 182,425,001,990,400
  5. Step 5: Solve for x
    x = 182,425,001,990,400/9,476,896
  6. Step 6: Final answer
    x = 19,249,446.44

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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.