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Finding the Third Proportional to 24,881,342,220 and 54,834,294,409

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Solution

The third proportional to 24,881,342,220 and 54,834,294,409 is: 120,845,564,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881,342,220 : 54,834,294,409 = 54,834,294,409 : x
  2. Step 2: Convert to fraction form
    24,881,342,220/54,834,294,409 = 54,834,294,409/x
  3. Step 3: Cross multiply
    24,881,342,220x = 54,834,294,409 × 54,834,294,409
  4. Step 4: Simplify right side
    24,881,342,220x = 3,006,799,843,332,888,461,312
  5. Step 5: Solve for x
    x = 3,006,799,843,332,888,461,312/24,881,342,220
  6. Step 6: Final answer
    x = 120,845,564,389.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.