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Finding the Third Proportional to 38,302,294 and 81,913,004

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Solution

The third proportional to 38,302,294 and 81,913,004 is: 175,178,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302,294 : 81,913,004 = 81,913,004 : x
  2. Step 2: Convert to fraction form
    38,302,294/81,913,004 = 81,913,004/x
  3. Step 3: Cross multiply
    38,302,294x = 81,913,004 × 81,913,004
  4. Step 4: Simplify right side
    38,302,294x = 6,709,740,224,304,016
  5. Step 5: Solve for x
    x = 6,709,740,224,304,016/38,302,294
  6. Step 6: Final answer
    x = 175,178,547.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.