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Finding the Third Proportional to 4,280,790,751 and 6,549,130,547

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Solution

The third proportional to 4,280,790,751 and 6,549,130,547 is: 10,019,436,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280,790,751 : 6,549,130,547 = 6,549,130,547 : x
  2. Step 2: Convert to fraction form
    4,280,790,751/6,549,130,547 = 6,549,130,547/x
  3. Step 3: Cross multiply
    4,280,790,751x = 6,549,130,547 × 6,549,130,547
  4. Step 4: Simplify right side
    4,280,790,751x = 42,891,110,921,648,521,216
  5. Step 5: Solve for x
    x = 42,891,110,921,648,521,216/4,280,790,751
  6. Step 6: Final answer
    x = 10,019,436,458.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.