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Finding the Third Proportional to 9,423,402,957 and 14,611,310,725.50

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Solution

The third proportional to 9,423,402,957 and 14,611,310,725.50 is: 22,655,340,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423,402,957 : 14,611,310,725.50 = 14,611,310,725.50 : x
  2. Step 2: Convert to fraction form
    9,423,402,957/14,611,310,725.50 = 14,611,310,725.50/x
  3. Step 3: Cross multiply
    9,423,402,957x = 14,611,310,725.50 × 14,611,310,725.50
  4. Step 4: Simplify right side
    9,423,402,957x = 213,490,401,117,111,320,576
  5. Step 5: Solve for x
    x = 213,490,401,117,111,320,576/9,423,402,957
  6. Step 6: Final answer
    x = 22,655,340,336.32

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Why These Related Problems?

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