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Finding the Third Proportional to 1,727,069,385 and 2,525,834,547

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Solution

The third proportional to 1,727,069,385 and 2,525,834,547 is: 3,694,026,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,069,385 : 2,525,834,547 = 2,525,834,547 : x
  2. Step 2: Convert to fraction form
    1,727,069,385/2,525,834,547 = 2,525,834,547/x
  3. Step 3: Cross multiply
    1,727,069,385x = 2,525,834,547 × 2,525,834,547
  4. Step 4: Simplify right side
    1,727,069,385x = 6,379,840,158,818,695,168
  5. Step 5: Solve for x
    x = 6,379,840,158,818,695,168/1,727,069,385
  6. Step 6: Final answer
    x = 3,694,026,548.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.