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Finding the Third Proportional to 1,925,264,319 and 4,219,614,411

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Solution

The third proportional to 1,925,264,319 and 4,219,614,411 is: 9,248,156,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925,264,319 : 4,219,614,411 = 4,219,614,411 : x
  2. Step 2: Convert to fraction form
    1,925,264,319/4,219,614,411 = 4,219,614,411/x
  3. Step 3: Cross multiply
    1,925,264,319x = 4,219,614,411 × 4,219,614,411
  4. Step 4: Simplify right side
    1,925,264,319x = 17,805,145,777,518,876,672
  5. Step 5: Solve for x
    x = 17,805,145,777,518,876,672/1,925,264,319
  6. Step 6: Final answer
    x = 9,248,156,526.77

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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.