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Finding the Third Proportional to 286,095,262.50 and 617,927,245.50

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Solution

The third proportional to 286,095,262.50 and 617,927,245.50 is: 1,334,639,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,262.50 : 617,927,245.50 = 617,927,245.50 : x
  2. Step 2: Convert to fraction form
    286,095,262.50/617,927,245.50 = 617,927,245.50/x
  3. Step 3: Cross multiply
    286,095,262.50x = 617,927,245.50 × 617,927,245.50
  4. Step 4: Simplify right side
    286,095,262.50x = 381,834,080,731,217,280
  5. Step 5: Solve for x
    x = 381,834,080,731,217,280/286,095,262.50
  6. Step 6: Final answer
    x = 1,334,639,649.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.