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Finding the Third Proportional to 607,309,898,283 and 1,264,886,478,148.50

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Solution

The third proportional to 607,309,898,283 and 1,264,886,478,148.50 is: 2,634,466,863,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,309,898,283 : 1,264,886,478,148.50 = 1,264,886,478,148.50 : x
  2. Step 2: Convert to fraction form
    607,309,898,283/1,264,886,478,148.50 = 1,264,886,478,148.50/x
  3. Step 3: Cross multiply
    607,309,898,283x = 1,264,886,478,148.50 × 1,264,886,478,148.50
  4. Step 4: Simplify right side
    607,309,898,283x = 1,599,937,802,602,915,760,701,440
  5. Step 5: Solve for x
    x = 1,599,937,802,602,915,760,701,440/607,309,898,283
  6. Step 6: Final answer
    x = 2,634,466,863,007.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.