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Finding the Third Proportional to 565,662,962 and 1,217,776,900

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Solution

The third proportional to 565,662,962 and 1,217,776,900 is: 2,621,668,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,662,962 : 1,217,776,900 = 1,217,776,900 : x
  2. Step 2: Convert to fraction form
    565,662,962/1,217,776,900 = 1,217,776,900/x
  3. Step 3: Cross multiply
    565,662,962x = 1,217,776,900 × 1,217,776,900
  4. Step 4: Simplify right side
    565,662,962x = 1,482,980,578,173,609,984
  5. Step 5: Solve for x
    x = 1,482,980,578,173,609,984/565,662,962
  6. Step 6: Final answer
    x = 2,621,668,162.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.