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Finding the Third Proportional to 1,335,426,356 and 2,854,634,572

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Solution

The third proportional to 1,335,426,356 and 2,854,634,572 is: 6,102,124,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,426,356 : 2,854,634,572 = 2,854,634,572 : x
  2. Step 2: Convert to fraction form
    1,335,426,356/2,854,634,572 = 2,854,634,572/x
  3. Step 3: Cross multiply
    1,335,426,356x = 2,854,634,572 × 2,854,634,572
  4. Step 4: Simplify right side
    1,335,426,356x = 8,148,938,539,657,623,552
  5. Step 5: Solve for x
    x = 8,148,938,539,657,623,552/1,335,426,356
  6. Step 6: Final answer
    x = 6,102,124,990.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.