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Finding the Third Proportional to 532,736,919,718 and 1,243,095,770,959

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Solution

The third proportional to 532,736,919,718 and 1,243,095,770,959 is: 2,900,657,038,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,736,919,718 : 1,243,095,770,959 = 1,243,095,770,959 : x
  2. Step 2: Convert to fraction form
    532,736,919,718/1,243,095,770,959 = 1,243,095,770,959/x
  3. Step 3: Cross multiply
    532,736,919,718x = 1,243,095,770,959 × 1,243,095,770,959
  4. Step 4: Simplify right side
    532,736,919,718x = 1,545,287,095,776,150,479,175,680
  5. Step 5: Solve for x
    x = 1,545,287,095,776,150,479,175,680/532,736,919,718
  6. Step 6: Final answer
    x = 2,900,657,038,363.58

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.