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Finding the Third Proportional to 342,070,906 and 746,843,547

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Solution

The third proportional to 342,070,906 and 746,843,547 is: 1,630,583,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,070,906 : 746,843,547 = 746,843,547 : x
  2. Step 2: Convert to fraction form
    342,070,906/746,843,547 = 746,843,547/x
  3. Step 3: Cross multiply
    342,070,906x = 746,843,547 × 746,843,547
  4. Step 4: Simplify right side
    342,070,906x = 557,775,283,695,541,184
  5. Step 5: Solve for x
    x = 557,775,283,695,541,184/342,070,906
  6. Step 6: Final answer
    x = 1,630,583,817.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.