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Finding the Third Proportional to 931,838,516 and 2,070,531,920

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Solution

The third proportional to 931,838,516 and 2,070,531,920 is: 4,600,692,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,838,516 : 2,070,531,920 = 2,070,531,920 : x
  2. Step 2: Convert to fraction form
    931,838,516/2,070,531,920 = 2,070,531,920/x
  3. Step 3: Cross multiply
    931,838,516x = 2,070,531,920 × 2,070,531,920
  4. Step 4: Simplify right side
    931,838,516x = 4,287,102,431,738,886,144
  5. Step 5: Solve for x
    x = 4,287,102,431,738,886,144/931,838,516
  6. Step 6: Final answer
    x = 4,600,692,457.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.