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Finding the Third Proportional to 3,232,849,918 and 6,983,021,564

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Solution

The third proportional to 3,232,849,918 and 6,983,021,564 is: 15,083,468,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232,849,918 : 6,983,021,564 = 6,983,021,564 : x
  2. Step 2: Convert to fraction form
    3,232,849,918/6,983,021,564 = 6,983,021,564/x
  3. Step 3: Cross multiply
    3,232,849,918x = 6,983,021,564 × 6,983,021,564
  4. Step 4: Simplify right side
    3,232,849,918x = 48,762,590,163,289,006,080
  5. Step 5: Solve for x
    x = 48,762,590,163,289,006,080/3,232,849,918
  6. Step 6: Final answer
    x = 15,083,468,580.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.