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Finding the Third Proportional to 5,582,600,434 and 8,643,094,107

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Solution

The third proportional to 5,582,600,434 and 8,643,094,107 is: 13,381,411,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582,600,434 : 8,643,094,107 = 8,643,094,107 : x
  2. Step 2: Convert to fraction form
    5,582,600,434/8,643,094,107 = 8,643,094,107/x
  3. Step 3: Cross multiply
    5,582,600,434x = 8,643,094,107 × 8,643,094,107
  4. Step 4: Simplify right side
    5,582,600,434x = 74,703,075,742,458,134,528
  5. Step 5: Solve for x
    x = 74,703,075,742,458,134,528/5,582,600,434
  6. Step 6: Final answer
    x = 13,381,411,875.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.