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Finding the Third Proportional to 6,444,529,547 and 13,880,688,634

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Solution

The third proportional to 6,444,529,547 and 13,880,688,634 is: 29,897,219,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444,529,547 : 13,880,688,634 = 13,880,688,634 : x
  2. Step 2: Convert to fraction form
    6,444,529,547/13,880,688,634 = 13,880,688,634/x
  3. Step 3: Cross multiply
    6,444,529,547x = 13,880,688,634 × 13,880,688,634
  4. Step 4: Simplify right side
    6,444,529,547x = 192,673,516,954,056,785,920
  5. Step 5: Solve for x
    x = 192,673,516,954,056,785,920/6,444,529,547
  6. Step 6: Final answer
    x = 29,897,219,889.97

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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.