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Finding the Third Proportional to 4,600,421,592 and 6,578,653,500

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Solution

The third proportional to 4,600,421,592 and 6,578,653,500 is: 9,407,546,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,421,592 : 6,578,653,500 = 6,578,653,500 : x
  2. Step 2: Convert to fraction form
    4,600,421,592/6,578,653,500 = 6,578,653,500/x
  3. Step 3: Cross multiply
    4,600,421,592x = 6,578,653,500 × 6,578,653,500
  4. Step 4: Simplify right side
    4,600,421,592x = 43,278,681,873,062,248,448
  5. Step 5: Solve for x
    x = 43,278,681,873,062,248,448/4,600,421,592
  6. Step 6: Final answer
    x = 9,407,546,897.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.