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Finding the Third Proportional to 1,543,803,414 and 2,385,432,236

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Solution

The third proportional to 1,543,803,414 and 2,385,432,236 is: 3,685,888,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,803,414 : 2,385,432,236 = 2,385,432,236 : x
  2. Step 2: Convert to fraction form
    1,543,803,414/2,385,432,236 = 2,385,432,236/x
  3. Step 3: Cross multiply
    1,543,803,414x = 2,385,432,236 × 2,385,432,236
  4. Step 4: Simplify right side
    1,543,803,414x = 5,690,286,952,547,959,808
  5. Step 5: Solve for x
    x = 5,690,286,952,547,959,808/1,543,803,414
  6. Step 6: Final answer
    x = 3,685,888,307.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.