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Finding the Third Proportional to 10,844,897,979 and 16,758,132,772.50

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Solution

The third proportional to 10,844,897,979 and 16,758,132,772.50 is: 25,895,588,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844,897,979 : 16,758,132,772.50 = 16,758,132,772.50 : x
  2. Step 2: Convert to fraction form
    10,844,897,979/16,758,132,772.50 = 16,758,132,772.50/x
  3. Step 3: Cross multiply
    10,844,897,979x = 16,758,132,772.50 × 16,758,132,772.50
  4. Step 4: Simplify right side
    10,844,897,979x = 280,835,014,020,738,547,712
  5. Step 5: Solve for x
    x = 280,835,014,020,738,547,712/10,844,897,979
  6. Step 6: Final answer
    x = 25,895,588,373.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.