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Finding the Third Proportional to 484,861,357,946.25 and 681,925,060,191.40

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Solution

The third proportional to 484,861,357,946.25 and 681,925,060,191.40 is: 959,081,972,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,861,357,946.25 : 681,925,060,191.40 = 681,925,060,191.40 : x
  2. Step 2: Convert to fraction form
    484,861,357,946.25/681,925,060,191.40 = 681,925,060,191.40/x
  3. Step 3: Cross multiply
    484,861,357,946.25x = 681,925,060,191.40 × 681,925,060,191.40
  4. Step 4: Simplify right side
    484,861,357,946.25x = 465,021,787,717,044,554,170,368
  5. Step 5: Solve for x
    x = 465,021,787,717,044,554,170,368/484,861,357,946.25
  6. Step 6: Final answer
    x = 959,081,972,807.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.