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Finding the Third Proportional to 1,925,264,294 and 4,219,614,370

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Solution

The third proportional to 1,925,264,294 and 4,219,614,370 is: 9,248,156,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925,264,294 : 4,219,614,370 = 4,219,614,370 : x
  2. Step 2: Convert to fraction form
    1,925,264,294/4,219,614,370 = 4,219,614,370/x
  3. Step 3: Cross multiply
    1,925,264,294x = 4,219,614,370 × 4,219,614,370
  4. Step 4: Simplify right side
    1,925,264,294x = 17,805,145,431,510,497,280
  5. Step 5: Solve for x
    x = 17,805,145,431,510,497,280/1,925,264,294
  6. Step 6: Final answer
    x = 9,248,156,467.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.