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Finding the Third Proportional to 8,975,196 and 19,574,904

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Solution

The third proportional to 8,975,196 and 19,574,904 is: 42,692,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975,196 : 19,574,904 = 19,574,904 : x
  2. Step 2: Convert to fraction form
    8,975,196/19,574,904 = 19,574,904/x
  3. Step 3: Cross multiply
    8,975,196x = 19,574,904 × 19,574,904
  4. Step 4: Simplify right side
    8,975,196x = 383,176,866,609,216
  5. Step 5: Solve for x
    x = 383,176,866,609,216/8,975,196
  6. Step 6: Final answer
    x = 42,692,868.95

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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.