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Finding the Third Proportional to 1,905,374,521 and 4,127,363,323

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Solution

The third proportional to 1,905,374,521 and 4,127,363,323 is: 8,940,566,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,374,521 : 4,127,363,323 = 4,127,363,323 : x
  2. Step 2: Convert to fraction form
    1,905,374,521/4,127,363,323 = 4,127,363,323/x
  3. Step 3: Cross multiply
    1,905,374,521x = 4,127,363,323 × 4,127,363,323
  4. Step 4: Simplify right side
    1,905,374,521x = 17,035,128,000,045,602,816
  5. Step 5: Solve for x
    x = 17,035,128,000,045,602,816/1,905,374,521
  6. Step 6: Final answer
    x = 8,940,566,703.45

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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.