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Finding the Third Proportional to 5,878,830 and 12,597,468

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Solution

The third proportional to 5,878,830 and 12,597,468 is: 26,994,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878,830 : 12,597,468 = 12,597,468 : x
  2. Step 2: Convert to fraction form
    5,878,830/12,597,468 = 12,597,468/x
  3. Step 3: Cross multiply
    5,878,830x = 12,597,468 × 12,597,468
  4. Step 4: Simplify right side
    5,878,830x = 158,696,200,011,024
  5. Step 5: Solve for x
    x = 158,696,200,011,024/5,878,830
  6. Step 6: Final answer
    x = 26,994,521.02

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