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Finding the Third Proportional to 2,963,283,134 and 4,356,254,877

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Solution

The third proportional to 2,963,283,134 and 4,356,254,877 is: 6,404,030,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963,283,134 : 4,356,254,877 = 4,356,254,877 : x
  2. Step 2: Convert to fraction form
    2,963,283,134/4,356,254,877 = 4,356,254,877/x
  3. Step 3: Cross multiply
    2,963,283,134x = 4,356,254,877 × 4,356,254,877
  4. Step 4: Simplify right side
    2,963,283,134x = 18,976,956,553,386,287,104
  5. Step 5: Solve for x
    x = 18,976,956,553,386,287,104/2,963,283,134
  6. Step 6: Final answer
    x = 6,404,030,831.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.