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Finding the Third Proportional to 425,622,816 and 916,881,870

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Solution

The third proportional to 425,622,816 and 916,881,870 is: 1,975,158,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,622,816 : 916,881,870 = 916,881,870 : x
  2. Step 2: Convert to fraction form
    425,622,816/916,881,870 = 916,881,870/x
  3. Step 3: Cross multiply
    425,622,816x = 916,881,870 × 916,881,870
  4. Step 4: Simplify right side
    425,622,816x = 840,672,363,534,696,960
  5. Step 5: Solve for x
    x = 840,672,363,534,696,960/425,622,816
  6. Step 6: Final answer
    x = 1,975,158,125.77

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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.