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Finding the Third Proportional to 6,290,922,528 and 9,767,856,504

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Solution

The third proportional to 6,290,922,528 and 9,767,856,504 is: 15,166,459,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290,922,528 : 9,767,856,504 = 9,767,856,504 : x
  2. Step 2: Convert to fraction form
    6,290,922,528/9,767,856,504 = 9,767,856,504/x
  3. Step 3: Cross multiply
    6,290,922,528x = 9,767,856,504 × 9,767,856,504
  4. Step 4: Simplify right side
    6,290,922,528x = 95,411,020,682,735,108,096
  5. Step 5: Solve for x
    x = 95,411,020,682,735,108,096/6,290,922,528
  6. Step 6: Final answer
    x = 15,166,459,332.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.