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Finding the Third Proportional to 4,599,973,664 and 7,510,547,571

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Solution

The third proportional to 4,599,973,664 and 7,510,547,571 is: 12,262,749,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599,973,664 : 7,510,547,571 = 7,510,547,571 : x
  2. Step 2: Convert to fraction form
    4,599,973,664/7,510,547,571 = 7,510,547,571/x
  3. Step 3: Cross multiply
    4,599,973,664x = 7,510,547,571 × 7,510,547,571
  4. Step 4: Simplify right side
    4,599,973,664x = 56,408,324,816,254,001,152
  5. Step 5: Solve for x
    x = 56,408,324,816,254,001,152/4,599,973,664
  6. Step 6: Final answer
    x = 12,262,749,514.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.