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Finding the Third Proportional to 1,069,345,060 and 1,701,538,260

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Solution

The third proportional to 1,069,345,060 and 1,701,538,260 is: 2,707,481,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,345,060 : 1,701,538,260 = 1,701,538,260 : x
  2. Step 2: Convert to fraction form
    1,069,345,060/1,701,538,260 = 1,701,538,260/x
  3. Step 3: Cross multiply
    1,069,345,060x = 1,701,538,260 × 1,701,538,260
  4. Step 4: Simplify right side
    1,069,345,060x = 2,895,232,450,243,827,712
  5. Step 5: Solve for x
    x = 2,895,232,450,243,827,712/1,069,345,060
  6. Step 6: Final answer
    x = 2,707,481,951.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.