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Finding the Third Proportional to 369,427,614 and 803,157,948

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Solution

The third proportional to 369,427,614 and 803,157,948 is: 1,746,113,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,427,614 : 803,157,948 = 803,157,948 : x
  2. Step 2: Convert to fraction form
    369,427,614/803,157,948 = 803,157,948/x
  3. Step 3: Cross multiply
    369,427,614x = 803,157,948 × 803,157,948
  4. Step 4: Simplify right side
    369,427,614x = 645,062,689,435,570,688
  5. Step 5: Solve for x
    x = 645,062,689,435,570,688/369,427,614
  6. Step 6: Final answer
    x = 1,746,113,893.47

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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.