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Finding the Third Proportional to 9,210,665,862 and 14,148,709,587

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Solution

The third proportional to 9,210,665,862 and 14,148,709,587 is: 21,734,148,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210,665,862 : 14,148,709,587 = 14,148,709,587 : x
  2. Step 2: Convert to fraction form
    9,210,665,862/14,148,709,587 = 14,148,709,587/x
  3. Step 3: Cross multiply
    9,210,665,862x = 14,148,709,587 × 14,148,709,587
  4. Step 4: Simplify right side
    9,210,665,862x = 200,185,982,977,265,696,768
  5. Step 5: Solve for x
    x = 200,185,982,977,265,696,768/9,210,665,862
  6. Step 6: Final answer
    x = 21,734,148,863.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.