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Finding the Third Proportional to 4,807,960,210 and 10,443,583,472

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Solution

The third proportional to 4,807,960,210 and 10,443,583,472 is: 22,684,970,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807,960,210 : 10,443,583,472 = 10,443,583,472 : x
  2. Step 2: Convert to fraction form
    4,807,960,210/10,443,583,472 = 10,443,583,472/x
  3. Step 3: Cross multiply
    4,807,960,210x = 10,443,583,472 × 10,443,583,472
  4. Step 4: Simplify right side
    4,807,960,210x = 109,068,435,736,631,574,528
  5. Step 5: Solve for x
    x = 109,068,435,736,631,574,528/4,807,960,210
  6. Step 6: Final answer
    x = 22,684,970,543.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.