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Finding the Third Proportional to 1,435,706,088 and 3,116,440,960

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Solution

The third proportional to 1,435,706,088 and 3,116,440,960 is: 6,764,758,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,706,088 : 3,116,440,960 = 3,116,440,960 : x
  2. Step 2: Convert to fraction form
    1,435,706,088/3,116,440,960 = 3,116,440,960/x
  3. Step 3: Cross multiply
    1,435,706,088x = 3,116,440,960 × 3,116,440,960
  4. Step 4: Simplify right side
    1,435,706,088x = 9,712,204,257,165,721,600
  5. Step 5: Solve for x
    x = 9,712,204,257,165,721,600/1,435,706,088
  6. Step 6: Final answer
    x = 6,764,758,008.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.