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Finding the Third Proportional to 8,760,586,171,896 and 12,878,450,302,830

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Solution

The third proportional to 8,760,586,171,896 and 12,878,450,302,830 is: 18,931,893,248,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760,586,171,896 : 12,878,450,302,830 = 12,878,450,302,830 : x
  2. Step 2: Convert to fraction form
    8,760,586,171,896/12,878,450,302,830 = 12,878,450,302,830/x
  3. Step 3: Cross multiply
    8,760,586,171,896x = 12,878,450,302,830 × 12,878,450,302,830
  4. Step 4: Simplify right side
    8,760,586,171,896x = 165,854,482,202,462,118,656,081,920
  5. Step 5: Solve for x
    x = 165,854,482,202,462,118,656,081,920/8,760,586,171,896
  6. Step 6: Final answer
    x = 18,931,893,248,710.23

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