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Finding the Third Proportional to 4,660,267.50 and 6,296,312.25

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Solution

The third proportional to 4,660,267.50 and 6,296,312.25 is: 8,506,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,267.50 : 6,296,312.25 = 6,296,312.25 : x
  2. Step 2: Convert to fraction form
    4,660,267.50/6,296,312.25 = 6,296,312.25/x
  3. Step 3: Cross multiply
    4,660,267.50x = 6,296,312.25 × 6,296,312.25
  4. Step 4: Simplify right side
    4,660,267.50x = 39,643,547,949,500.06
  5. Step 5: Solve for x
    x = 39,643,547,949,500.06/4,660,267.50
  6. Step 6: Final answer
    x = 8,506,710.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.