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Finding the Third Proportional to 447,073,756,259.62 and 975,063,157,354.95

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Solution

The third proportional to 447,073,756,259.62 and 975,063,157,354.95 is: 2,126,602,484,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,073,756,259.62 : 975,063,157,354.95 = 975,063,157,354.95 : x
  2. Step 2: Convert to fraction form
    447,073,756,259.62/975,063,157,354.95 = 975,063,157,354.95/x
  3. Step 3: Cross multiply
    447,073,756,259.62x = 975,063,157,354.95 × 975,063,157,354.95
  4. Step 4: Simplify right side
    447,073,756,259.62x = 950,748,160,831,003,929,083,904
  5. Step 5: Solve for x
    x = 950,748,160,831,003,929,083,904/447,073,756,259.62
  6. Step 6: Final answer
    x = 2,126,602,484,532.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.