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Finding the Third Proportional to 1,796,478,654 and 3,931,612,746

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Solution

The third proportional to 1,796,478,654 and 3,931,612,746 is: 8,604,376,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796,478,654 : 3,931,612,746 = 3,931,612,746 : x
  2. Step 2: Convert to fraction form
    1,796,478,654/3,931,612,746 = 3,931,612,746/x
  3. Step 3: Cross multiply
    1,796,478,654x = 3,931,612,746 × 3,931,612,746
  4. Step 4: Simplify right side
    1,796,478,654x = 15,457,578,784,509,661,184
  5. Step 5: Solve for x
    x = 15,457,578,784,509,661,184/1,796,478,654
  6. Step 6: Final answer
    x = 8,604,376,539.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.