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Finding the Third Proportional to 3,234,606,960 and 4,730,604,624

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Solution

The third proportional to 3,234,606,960 and 4,730,604,624 is: 6,918,497,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,606,960 : 4,730,604,624 = 4,730,604,624 : x
  2. Step 2: Convert to fraction form
    3,234,606,960/4,730,604,624 = 4,730,604,624/x
  3. Step 3: Cross multiply
    3,234,606,960x = 4,730,604,624 × 4,730,604,624
  4. Step 4: Simplify right side
    3,234,606,960x = 22,378,620,108,610,183,168
  5. Step 5: Solve for x
    x = 22,378,620,108,610,183,168/3,234,606,960
  6. Step 6: Final answer
    x = 6,918,497,482.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.