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Finding the Third Proportional to 10,205,048,577 and 15,973,688,257.50

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Solution

The third proportional to 10,205,048,577 and 15,973,688,257.50 is: 25,003,184,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205,048,577 : 15,973,688,257.50 = 15,973,688,257.50 : x
  2. Step 2: Convert to fraction form
    10,205,048,577/15,973,688,257.50 = 15,973,688,257.50/x
  3. Step 3: Cross multiply
    10,205,048,577x = 15,973,688,257.50 × 15,973,688,257.50
  4. Step 4: Simplify right side
    10,205,048,577x = 255,158,716,547,793,387,520
  5. Step 5: Solve for x
    x = 255,158,716,547,793,387,520/10,205,048,577
  6. Step 6: Final answer
    x = 25,003,184,906.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.