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Finding the Third Proportional to 3,656,734,572 and 5,570,657,304

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Solution

The third proportional to 3,656,734,572 and 5,570,657,304 is: 8,486,320,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656,734,572 : 5,570,657,304 = 5,570,657,304 : x
  2. Step 2: Convert to fraction form
    3,656,734,572/5,570,657,304 = 5,570,657,304/x
  3. Step 3: Cross multiply
    3,656,734,572x = 5,570,657,304 × 5,570,657,304
  4. Step 4: Simplify right side
    3,656,734,572x = 31,032,222,798,608,547,840
  5. Step 5: Solve for x
    x = 31,032,222,798,608,547,840/3,656,734,572
  6. Step 6: Final answer
    x = 8,486,320,838.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.