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Finding the Third Proportional to 6,185,559,893,620 and 12,547,493,363,480

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Solution

The third proportional to 6,185,559,893,620 and 12,547,493,363,480 is: 25,452,762,953,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185,559,893,620 : 12,547,493,363,480 = 12,547,493,363,480 : x
  2. Step 2: Convert to fraction form
    6,185,559,893,620/12,547,493,363,480 = 12,547,493,363,480/x
  3. Step 3: Cross multiply
    6,185,559,893,620x = 12,547,493,363,480 × 12,547,493,363,480
  4. Step 4: Simplify right side
    6,185,559,893,620x = 157,439,589,706,574,636,326,584,320
  5. Step 5: Solve for x
    x = 157,439,589,706,574,636,326,584,320/6,185,559,893,620
  6. Step 6: Final answer
    x = 25,452,762,953,433.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.