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Finding the Third Proportional to 219,136,333,506 and 471,251,931,663

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Solution

The third proportional to 219,136,333,506 and 471,251,931,663 is: 1,013,425,658,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,136,333,506 : 471,251,931,663 = 471,251,931,663 : x
  2. Step 2: Convert to fraction form
    219,136,333,506/471,251,931,663 = 471,251,931,663/x
  3. Step 3: Cross multiply
    219,136,333,506x = 471,251,931,663 × 471,251,931,663
  4. Step 4: Simplify right side
    219,136,333,506x = 222,078,383,096,108,815,482,880
  5. Step 5: Solve for x
    x = 222,078,383,096,108,815,482,880/219,136,333,506
  6. Step 6: Final answer
    x = 1,013,425,658,552.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.