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Finding the Third Proportional to 1,716,571,984 and 3,707,564,264

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Solution

The third proportional to 1,716,571,984 and 3,707,564,264 is: 8,007,839,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716,571,984 : 3,707,564,264 = 3,707,564,264 : x
  2. Step 2: Convert to fraction form
    1,716,571,984/3,707,564,264 = 3,707,564,264/x
  3. Step 3: Cross multiply
    1,716,571,984x = 3,707,564,264 × 3,707,564,264
  4. Step 4: Simplify right side
    1,716,571,984x = 13,746,032,771,689,861,120
  5. Step 5: Solve for x
    x = 13,746,032,771,689,861,120/1,716,571,984
  6. Step 6: Final answer
    x = 8,007,839,403.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.