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Finding the Third Proportional to 1,353,390,160 and 2,153,509,800

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Solution

The third proportional to 1,353,390,160 and 2,153,509,800 is: 3,426,657,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,390,160 : 2,153,509,800 = 2,153,509,800 : x
  2. Step 2: Convert to fraction form
    1,353,390,160/2,153,509,800 = 2,153,509,800/x
  3. Step 3: Cross multiply
    1,353,390,160x = 2,153,509,800 × 2,153,509,800
  4. Step 4: Simplify right side
    1,353,390,160x = 4,637,604,458,696,040,448
  5. Step 5: Solve for x
    x = 4,637,604,458,696,040,448/1,353,390,160
  6. Step 6: Final answer
    x = 3,426,657,438.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.