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Finding the Third Proportional to 6,349,847,688 and 9,871,891,065

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Solution

The third proportional to 6,349,847,688 and 9,871,891,065 is: 15,347,491,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349,847,688 : 9,871,891,065 = 9,871,891,065 : x
  2. Step 2: Convert to fraction form
    6,349,847,688/9,871,891,065 = 9,871,891,065/x
  3. Step 3: Cross multiply
    6,349,847,688x = 9,871,891,065 × 9,871,891,065
  4. Step 4: Simplify right side
    6,349,847,688x = 97,454,233,199,226,830,848
  5. Step 5: Solve for x
    x = 97,454,233,199,226,830,848/6,349,847,688
  6. Step 6: Final answer
    x = 15,347,491,465.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.