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Finding the Third Proportional to 966,921,348 and 2,071,684,734

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Solution

The third proportional to 966,921,348 and 2,071,684,734 is: 4,438,703,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,921,348 : 2,071,684,734 = 2,071,684,734 : x
  2. Step 2: Convert to fraction form
    966,921,348/2,071,684,734 = 2,071,684,734/x
  3. Step 3: Cross multiply
    966,921,348x = 2,071,684,734 × 2,071,684,734
  4. Step 4: Simplify right side
    966,921,348x = 4,291,877,637,088,650,752
  5. Step 5: Solve for x
    x = 4,291,877,637,088,650,752/966,921,348
  6. Step 6: Final answer
    x = 4,438,703,981.42

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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.