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Finding the Third Proportional to 9,157,030,413 and 19,835,312,754

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Solution

The third proportional to 9,157,030,413 and 19,835,312,754 is: 42,965,854,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157,030,413 : 19,835,312,754 = 19,835,312,754 : x
  2. Step 2: Convert to fraction form
    9,157,030,413/19,835,312,754 = 19,835,312,754/x
  3. Step 3: Cross multiply
    9,157,030,413x = 19,835,312,754 × 19,835,312,754
  4. Step 4: Simplify right side
    9,157,030,413x = 393,439,632,048,995,041,280
  5. Step 5: Solve for x
    x = 393,439,632,048,995,041,280/9,157,030,413
  6. Step 6: Final answer
    x = 42,965,854,027.35

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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.