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Finding the Third Proportional to 8,760,586,164,001 and 12,878,450,292,242

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Solution

The third proportional to 8,760,586,164,001 and 12,878,450,292,242 is: 18,931,893,234,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760,586,164,001 : 12,878,450,292,242 = 12,878,450,292,242 : x
  2. Step 2: Convert to fraction form
    8,760,586,164,001/12,878,450,292,242 = 12,878,450,292,242/x
  3. Step 3: Cross multiply
    8,760,586,164,001x = 12,878,450,292,242 × 12,878,450,292,242
  4. Step 4: Simplify right side
    8,760,586,164,001x = 165,854,481,929,748,050,595,545,088
  5. Step 5: Solve for x
    x = 165,854,481,929,748,050,595,545,088/8,760,586,164,001
  6. Step 6: Final answer
    x = 18,931,893,234,641.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.