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Finding the Third Proportional to 484,558,931.75 and 1,056,817,930.75

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Solution

The third proportional to 484,558,931.75 and 1,056,817,930.75 is: 2,304,908,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,558,931.75 : 1,056,817,930.75 = 1,056,817,930.75 : x
  2. Step 2: Convert to fraction form
    484,558,931.75/1,056,817,930.75 = 1,056,817,930.75/x
  3. Step 3: Cross multiply
    484,558,931.75x = 1,056,817,930.75 × 1,056,817,930.75
  4. Step 4: Simplify right side
    484,558,931.75x = 1,116,864,138,754,711,808
  5. Step 5: Solve for x
    x = 1,116,864,138,754,711,808/484,558,931.75
  6. Step 6: Final answer
    x = 2,304,908,785.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.