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Finding the Third Proportional to 662,506,875 and 1,393,549,957.50

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Solution

The third proportional to 662,506,875 and 1,393,549,957.50 is: 2,931,262,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,506,875 : 1,393,549,957.50 = 1,393,549,957.50 : x
  2. Step 2: Convert to fraction form
    662,506,875/1,393,549,957.50 = 1,393,549,957.50/x
  3. Step 3: Cross multiply
    662,506,875x = 1,393,549,957.50 × 1,393,549,957.50
  4. Step 4: Simplify right side
    662,506,875x = 1,941,981,484,048,251,904
  5. Step 5: Solve for x
    x = 1,941,981,484,048,251,904/662,506,875
  6. Step 6: Final answer
    x = 2,931,262,387.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.