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Finding the Third Proportional to 40,341,113,499 and 60,289,328,407.50

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Solution

The third proportional to 40,341,113,499 and 60,289,328,407.50 is: 90,101,705,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,341,113,499 : 60,289,328,407.50 = 60,289,328,407.50 : x
  2. Step 2: Convert to fraction form
    40,341,113,499/60,289,328,407.50 = 60,289,328,407.50/x
  3. Step 3: Cross multiply
    40,341,113,499x = 60,289,328,407.50 × 60,289,328,407.50
  4. Step 4: Simplify right side
    40,341,113,499x = 3,634,803,119,827,386,368,000
  5. Step 5: Solve for x
    x = 3,634,803,119,827,386,368,000/40,341,113,499
  6. Step 6: Final answer
    x = 90,101,705,296.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.