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Finding the Third Proportional to 6,208,683,581 and 9,310,745,053

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Solution

The third proportional to 6,208,683,581 and 9,310,745,053 is: 13,962,697,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208,683,581 : 9,310,745,053 = 9,310,745,053 : x
  2. Step 2: Convert to fraction form
    6,208,683,581/9,310,745,053 = 9,310,745,053/x
  3. Step 3: Cross multiply
    6,208,683,581x = 9,310,745,053 × 9,310,745,053
  4. Step 4: Simplify right side
    6,208,683,581x = 86,689,973,441,963,966,464
  5. Step 5: Solve for x
    x = 86,689,973,441,963,966,464/6,208,683,581
  6. Step 6: Final answer
    x = 13,962,697,939.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.