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Finding the Third Proportional to 6,457,279,509 and 10,025,893,602

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Solution

The third proportional to 6,457,279,509 and 10,025,893,602 is: 15,566,701,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,279,509 : 10,025,893,602 = 10,025,893,602 : x
  2. Step 2: Convert to fraction form
    6,457,279,509/10,025,893,602 = 10,025,893,602/x
  3. Step 3: Cross multiply
    6,457,279,509x = 10,025,893,602 × 10,025,893,602
  4. Step 4: Simplify right side
    6,457,279,509x = 100,518,542,518,624,534,528
  5. Step 5: Solve for x
    x = 100,518,542,518,624,534,528/6,457,279,509
  6. Step 6: Final answer
    x = 15,566,701,484.51

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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.