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Finding the Third Proportional to 21,998,730 and 32,323,854

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Solution

The third proportional to 21,998,730 and 32,323,854 is: 47,495,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998,730 : 32,323,854 = 32,323,854 : x
  2. Step 2: Convert to fraction form
    21,998,730/32,323,854 = 32,323,854/x
  3. Step 3: Cross multiply
    21,998,730x = 32,323,854 × 32,323,854
  4. Step 4: Simplify right side
    21,998,730x = 1,044,831,537,413,316
  5. Step 5: Solve for x
    x = 1,044,831,537,413,316/21,998,730
  6. Step 6: Final answer
    x = 47,495,084.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.