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Finding the Third Proportional to 3,421,812,270,352 and 7,340,356,502,586

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Solution

The third proportional to 3,421,812,270,352 and 7,340,356,502,586 is: 15,746,285,689,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,812,270,352 : 7,340,356,502,586 = 7,340,356,502,586 : x
  2. Step 2: Convert to fraction form
    3,421,812,270,352/7,340,356,502,586 = 7,340,356,502,586/x
  3. Step 3: Cross multiply
    3,421,812,270,352x = 7,340,356,502,586 × 7,340,356,502,586
  4. Step 4: Simplify right side
    3,421,812,270,352x = 53,880,833,585,056,574,097,850,368
  5. Step 5: Solve for x
    x = 53,880,833,585,056,574,097,850,368/3,421,812,270,352
  6. Step 6: Final answer
    x = 15,746,285,689,575.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.