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Finding the Third Proportional to 6,590,692,010.53 and 9,947,327,802.33

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Solution

The third proportional to 6,590,692,010.53 and 9,947,327,802.33 is: 15,013,496,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590,692,010.53 : 9,947,327,802.33 = 9,947,327,802.33 : x
  2. Step 2: Convert to fraction form
    6,590,692,010.53/9,947,327,802.33 = 9,947,327,802.33/x
  3. Step 3: Cross multiply
    6,590,692,010.53x = 9,947,327,802.33 × 9,947,327,802.33
  4. Step 4: Simplify right side
    6,590,692,010.53x = 98,949,330,406,967,574,528
  5. Step 5: Solve for x
    x = 98,949,330,406,967,574,528/6,590,692,010.53
  6. Step 6: Final answer
    x = 15,013,496,344.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.