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Finding the Third Proportional to 922,106,747 and 1,416,468,754

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Solution

The third proportional to 922,106,747 and 1,416,468,754 is: 2,175,869,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,106,747 : 1,416,468,754 = 1,416,468,754 : x
  2. Step 2: Convert to fraction form
    922,106,747/1,416,468,754 = 1,416,468,754/x
  3. Step 3: Cross multiply
    922,106,747x = 1,416,468,754 × 1,416,468,754
  4. Step 4: Simplify right side
    922,106,747x = 2,006,383,731,058,312,448
  5. Step 5: Solve for x
    x = 2,006,383,731,058,312,448/922,106,747
  6. Step 6: Final answer
    x = 2,175,869,266.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.