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Finding the Third Proportional to 2,552,709,415 and 5,464,013,829

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Solution

The third proportional to 2,552,709,415 and 5,464,013,829 is: 11,695,591,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552,709,415 : 5,464,013,829 = 5,464,013,829 : x
  2. Step 2: Convert to fraction form
    2,552,709,415/5,464,013,829 = 5,464,013,829/x
  3. Step 3: Cross multiply
    2,552,709,415x = 5,464,013,829 × 5,464,013,829
  4. Step 4: Simplify right side
    2,552,709,415x = 29,855,447,123,503,243,264
  5. Step 5: Solve for x
    x = 29,855,447,123,503,243,264/2,552,709,415
  6. Step 6: Final answer
    x = 11,695,591,730.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.