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Finding the Third Proportional to 7,020,730.50 and 9,857,776.50

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Solution

The third proportional to 7,020,730.50 and 9,857,776.50 is: 13,841,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020,730.50 : 9,857,776.50 = 9,857,776.50 : x
  2. Step 2: Convert to fraction form
    7,020,730.50/9,857,776.50 = 9,857,776.50/x
  3. Step 3: Cross multiply
    7,020,730.50x = 9,857,776.50 × 9,857,776.50
  4. Step 4: Simplify right side
    7,020,730.50x = 97,175,757,523,952.25
  5. Step 5: Solve for x
    x = 97,175,757,523,952.25/7,020,730.50
  6. Step 6: Final answer
    x = 13,841,260.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.