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Finding the Third Proportional to 830,490,303.50 and 1,960,450,657

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Solution

The third proportional to 830,490,303.50 and 1,960,450,657 is: 4,627,828,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,490,303.50 : 1,960,450,657 = 1,960,450,657 : x
  2. Step 2: Convert to fraction form
    830,490,303.50/1,960,450,657 = 1,960,450,657/x
  3. Step 3: Cross multiply
    830,490,303.50x = 1,960,450,657 × 1,960,450,657
  4. Step 4: Simplify right side
    830,490,303.50x = 3,843,366,778,531,731,456
  5. Step 5: Solve for x
    x = 3,843,366,778,531,731,456/830,490,303.50
  6. Step 6: Final answer
    x = 4,627,828,599.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.