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Finding the Third Proportional to 24,162,343,339.50 and 49,013,645,962.50

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Solution

The third proportional to 24,162,343,339.50 and 49,013,645,962.50 is: 99,424,855,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162,343,339.50 : 49,013,645,962.50 = 49,013,645,962.50 : x
  2. Step 2: Convert to fraction form
    24,162,343,339.50/49,013,645,962.50 = 49,013,645,962.50/x
  3. Step 3: Cross multiply
    24,162,343,339.50x = 49,013,645,962.50 × 49,013,645,962.50
  4. Step 4: Simplify right side
    24,162,343,339.50x = 2,402,337,490,537,292,496,896
  5. Step 5: Solve for x
    x = 2,402,337,490,537,292,496,896/24,162,343,339.50
  6. Step 6: Final answer
    x = 99,424,855,312.36

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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.