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Finding the Third Proportional to 38,195,748 and 74,442,312

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Solution

The third proportional to 38,195,748 and 74,442,312 is: 145,085,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195,748 : 74,442,312 = 74,442,312 : x
  2. Step 2: Convert to fraction form
    38,195,748/74,442,312 = 74,442,312/x
  3. Step 3: Cross multiply
    38,195,748x = 74,442,312 × 74,442,312
  4. Step 4: Simplify right side
    38,195,748x = 5,541,657,815,905,344
  5. Step 5: Solve for x
    x = 5,541,657,815,905,344/38,195,748
  6. Step 6: Final answer
    x = 145,085,725.67

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.