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Finding the Third Proportional to 975,392,730 and 1,485,956,160

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Solution

The third proportional to 975,392,730 and 1,485,956,160 is: 2,263,770,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,392,730 : 1,485,956,160 = 1,485,956,160 : x
  2. Step 2: Convert to fraction form
    975,392,730/1,485,956,160 = 1,485,956,160/x
  3. Step 3: Cross multiply
    975,392,730x = 1,485,956,160 × 1,485,956,160
  4. Step 4: Simplify right side
    975,392,730x = 2,208,065,709,441,945,600
  5. Step 5: Solve for x
    x = 2,208,065,709,441,945,600/975,392,730
  6. Step 6: Final answer
    x = 2,263,770,931.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.