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Finding the Third Proportional to 966,921,337.13 and 2,071,684,712.25

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Solution

The third proportional to 966,921,337.13 and 2,071,684,712.25 is: 4,438,703,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,921,337.13 : 2,071,684,712.25 = 2,071,684,712.25 : x
  2. Step 2: Convert to fraction form
    966,921,337.13/2,071,684,712.25 = 2,071,684,712.25/x
  3. Step 3: Cross multiply
    966,921,337.13x = 2,071,684,712.25 × 2,071,684,712.25
  4. Step 4: Simplify right side
    966,921,337.13x = 4,291,877,546,970,365,440
  5. Step 5: Solve for x
    x = 4,291,877,546,970,365,440/966,921,337.13
  6. Step 6: Final answer
    x = 4,438,703,938.14

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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.