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Finding the Third Proportional to 943,920,146 and 1,428,983,643

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Solution

The third proportional to 943,920,146 and 1,428,983,643 is: 2,163,312,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,920,146 : 1,428,983,643 = 1,428,983,643 : x
  2. Step 2: Convert to fraction form
    943,920,146/1,428,983,643 = 1,428,983,643/x
  3. Step 3: Cross multiply
    943,920,146x = 1,428,983,643 × 1,428,983,643
  4. Step 4: Simplify right side
    943,920,146x = 2,041,994,251,961,551,360
  5. Step 5: Solve for x
    x = 2,041,994,251,961,551,360/943,920,146
  6. Step 6: Final answer
    x = 2,163,312,501.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.