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Finding the Third Proportional to 1,918,492,432 and 4,174,807,590

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Solution

The third proportional to 1,918,492,432 and 4,174,807,590 is: 9,084,747,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,492,432 : 4,174,807,590 = 4,174,807,590 : x
  2. Step 2: Convert to fraction form
    1,918,492,432/4,174,807,590 = 4,174,807,590/x
  3. Step 3: Cross multiply
    1,918,492,432x = 4,174,807,590 × 4,174,807,590
  4. Step 4: Simplify right side
    1,918,492,432x = 17,429,018,413,521,608,704
  5. Step 5: Solve for x
    x = 17,429,018,413,521,608,704/1,918,492,432
  6. Step 6: Final answer
    x = 9,084,747,024.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.